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Finding the Third Proportional to 1,058,409 and 2,319,460

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Solution

The third proportional to 1,058,409 and 2,319,460 is: 5,083,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,409 : 2,319,460 = 2,319,460 : x
  2. Step 2: Convert to fraction form
    1,058,409/2,319,460 = 2,319,460/x
  3. Step 3: Cross multiply
    1,058,409x = 2,319,460 × 2,319,460
  4. Step 4: Simplify right side
    1,058,409x = 5,379,894,691,600
  5. Step 5: Solve for x
    x = 5,379,894,691,600/1,058,409
  6. Step 6: Final answer
    x = 5,083,001.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.