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Finding the Third Proportional to 639,042 and 1,002,447

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Solution

The third proportional to 639,042 and 1,002,447 is: 1,572,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,042 : 1,002,447 = 1,002,447 : x
  2. Step 2: Convert to fraction form
    639,042/1,002,447 = 1,002,447/x
  3. Step 3: Cross multiply
    639,042x = 1,002,447 × 1,002,447
  4. Step 4: Simplify right side
    639,042x = 1,004,899,987,809
  5. Step 5: Solve for x
    x = 1,004,899,987,809/639,042
  6. Step 6: Final answer
    x = 1,572,510.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.