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Finding the Third Proportional to 985,744.69 and 1,439,843.34

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Solution

The third proportional to 985,744.69 and 1,439,843.34 is: 2,103,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,744.69 : 1,439,843.34 = 1,439,843.34 : x
  2. Step 2: Convert to fraction form
    985,744.69/1,439,843.34 = 1,439,843.34/x
  3. Step 3: Cross multiply
    985,744.69x = 1,439,843.34 × 1,439,843.34
  4. Step 4: Simplify right side
    985,744.69x = 2,073,148,854,541.18
  5. Step 5: Solve for x
    x = 2,073,148,854,541.18/985,744.69
  6. Step 6: Final answer
    x = 2,103,129.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.