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Finding the Third Proportional to 431,644 and 938,899

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Solution

The third proportional to 431,644 and 938,899 is: 2,042,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,644 : 938,899 = 938,899 : x
  2. Step 2: Convert to fraction form
    431,644/938,899 = 938,899/x
  3. Step 3: Cross multiply
    431,644x = 938,899 × 938,899
  4. Step 4: Simplify right side
    431,644x = 881,531,332,201
  5. Step 5: Solve for x
    x = 881,531,332,201/431,644
  6. Step 6: Final answer
    x = 2,042,264.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.