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Finding the Third Proportional to 787,285.13 and 1,180,722.38

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Solution

The third proportional to 787,285.13 and 1,180,722.38 is: 1,770,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,285.13 : 1,180,722.38 = 1,180,722.38 : x
  2. Step 2: Convert to fraction form
    787,285.13/1,180,722.38 = 1,180,722.38/x
  3. Step 3: Cross multiply
    787,285.13x = 1,180,722.38 × 1,180,722.38
  4. Step 4: Simplify right side
    787,285.13x = 1,394,105,326,825.64
  5. Step 5: Solve for x
    x = 1,394,105,326,825.64/787,285.13
  6. Step 6: Final answer
    x = 1,770,775.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.