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Finding the Third Proportional to 639,492 and 938,502

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Solution

The third proportional to 639,492 and 938,502 is: 1,377,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,492 : 938,502 = 938,502 : x
  2. Step 2: Convert to fraction form
    639,492/938,502 = 938,502/x
  3. Step 3: Cross multiply
    639,492x = 938,502 × 938,502
  4. Step 4: Simplify right side
    639,492x = 880,786,004,004
  5. Step 5: Solve for x
    x = 880,786,004,004/639,492
  6. Step 6: Final answer
    x = 1,377,321.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.