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Finding the Third Proportional to 614,793.80 and 972,015.19

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Solution

The third proportional to 614,793.80 and 972,015.19 is: 1,536,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,793.80 : 972,015.19 = 972,015.19 : x
  2. Step 2: Convert to fraction form
    614,793.80/972,015.19 = 972,015.19/x
  3. Step 3: Cross multiply
    614,793.80x = 972,015.19 × 972,015.19
  4. Step 4: Simplify right side
    614,793.80x = 944,813,524,730.66
  5. Step 5: Solve for x
    x = 944,813,524,730.66/614,793.80
  6. Step 6: Final answer
    x = 1,536,797.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.