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Finding the Third Proportional to 399,051 and 861,403

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Solution

The third proportional to 399,051 and 861,403 is: 1,859,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,051 : 861,403 = 861,403 : x
  2. Step 2: Convert to fraction form
    399,051/861,403 = 861,403/x
  3. Step 3: Cross multiply
    399,051x = 861,403 × 861,403
  4. Step 4: Simplify right side
    399,051x = 742,015,128,409
  5. Step 5: Solve for x
    x = 742,015,128,409/399,051
  6. Step 6: Final answer
    x = 1,859,449.36

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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.