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Finding the Third Proportional to 399,066 and 861,436

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Solution

The third proportional to 399,066 and 861,436 is: 1,859,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,066 : 861,436 = 861,436 : x
  2. Step 2: Convert to fraction form
    399,066/861,436 = 861,436/x
  3. Step 3: Cross multiply
    399,066x = 861,436 × 861,436
  4. Step 4: Simplify right side
    399,066x = 742,071,982,096
  5. Step 5: Solve for x
    x = 742,071,982,096/399,066
  6. Step 6: Final answer
    x = 1,859,521.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.