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Finding the Third Proportional to 635,466 and 938,412

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Solution

The third proportional to 635,466 and 938,412 is: 1,385,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,466 : 938,412 = 938,412 : x
  2. Step 2: Convert to fraction form
    635,466/938,412 = 938,412/x
  3. Step 3: Cross multiply
    635,466x = 938,412 × 938,412
  4. Step 4: Simplify right side
    635,466x = 880,617,081,744
  5. Step 5: Solve for x
    x = 880,617,081,744/635,466
  6. Step 6: Final answer
    x = 1,385,781.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.