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Finding the Third Proportional to 403,414.31 and 869,069.81

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Solution

The third proportional to 403,414.31 and 869,069.81 is: 1,872,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,414.31 : 869,069.81 = 869,069.81 : x
  2. Step 2: Convert to fraction form
    403,414.31/869,069.81 = 869,069.81/x
  3. Step 3: Cross multiply
    403,414.31x = 869,069.81 × 869,069.81
  4. Step 4: Simplify right side
    403,414.31x = 755,282,338,998.79
  5. Step 5: Solve for x
    x = 755,282,338,998.79/403,414.31
  6. Step 6: Final answer
    x = 1,872,224.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.