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Finding the Third Proportional to 579,896,240,058 and 1,176,327,502,884

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Solution

The third proportional to 579,896,240,058 and 1,176,327,502,884 is: 2,386,196,526,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,896,240,058 : 1,176,327,502,884 = 1,176,327,502,884 : x
  2. Step 2: Convert to fraction form
    579,896,240,058/1,176,327,502,884 = 1,176,327,502,884/x
  3. Step 3: Cross multiply
    579,896,240,058x = 1,176,327,502,884 × 1,176,327,502,884
  4. Step 4: Simplify right side
    579,896,240,058x = 1,383,746,394,041,307,027,734,528
  5. Step 5: Solve for x
    x = 1,383,746,394,041,307,027,734,528/579,896,240,058
  6. Step 6: Final answer
    x = 2,386,196,526,990.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.