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Finding the Third Proportional to 721,335 and 1,568,058

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Solution

The third proportional to 721,335 and 1,568,058 is: 3,408,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,335 : 1,568,058 = 1,568,058 : x
  2. Step 2: Convert to fraction form
    721,335/1,568,058 = 1,568,058/x
  3. Step 3: Cross multiply
    721,335x = 1,568,058 × 1,568,058
  4. Step 4: Simplify right side
    721,335x = 2,458,805,891,364
  5. Step 5: Solve for x
    x = 2,458,805,891,364/721,335
  6. Step 6: Final answer
    x = 3,408,687.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.