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Finding the Third Proportional to 431,471 and 938,695

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Solution

The third proportional to 431,471 and 938,695 is: 2,042,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,471 : 938,695 = 938,695 : x
  2. Step 2: Convert to fraction form
    431,471/938,695 = 938,695/x
  3. Step 3: Cross multiply
    431,471x = 938,695 × 938,695
  4. Step 4: Simplify right side
    431,471x = 881,148,303,025
  5. Step 5: Solve for x
    x = 881,148,303,025/431,471
  6. Step 6: Final answer
    x = 2,042,195.89

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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.