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Finding the Third Proportional to 714,002 and 1,031,691

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Solution

The third proportional to 714,002 and 1,031,691 is: 1,490,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,002 : 1,031,691 = 1,031,691 : x
  2. Step 2: Convert to fraction form
    714,002/1,031,691 = 1,031,691/x
  3. Step 3: Cross multiply
    714,002x = 1,031,691 × 1,031,691
  4. Step 4: Simplify right side
    714,002x = 1,064,386,319,481
  5. Step 5: Solve for x
    x = 1,064,386,319,481/714,002
  6. Step 6: Final answer
    x = 1,490,732.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.