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Finding the Third Proportional to 399,062 and 861,428

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Solution

The third proportional to 399,062 and 861,428 is: 1,859,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,062 : 861,428 = 861,428 : x
  2. Step 2: Convert to fraction form
    399,062/861,428 = 861,428/x
  3. Step 3: Cross multiply
    399,062x = 861,428 × 861,428
  4. Step 4: Simplify right side
    399,062x = 742,058,199,184
  5. Step 5: Solve for x
    x = 742,058,199,184/399,062
  6. Step 6: Final answer
    x = 1,859,506.04

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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.