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Finding the Third Proportional to 784,683.28 and 1,182,796.17

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Solution

The third proportional to 784,683.28 and 1,182,796.17 is: 1,782,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,683.28 : 1,182,796.17 = 1,182,796.17 : x
  2. Step 2: Convert to fraction form
    784,683.28/1,182,796.17 = 1,182,796.17/x
  3. Step 3: Cross multiply
    784,683.28x = 1,182,796.17 × 1,182,796.17
  4. Step 4: Simplify right side
    784,683.28x = 1,399,006,784,202.15
  5. Step 5: Solve for x
    x = 1,399,006,784,202.15/784,683.28
  6. Step 6: Final answer
    x = 1,782,893.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.