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Finding the Third Proportional to 789,358.50 and 1,191,142.13

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Solution

The third proportional to 789,358.50 and 1,191,142.13 is: 1,797,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,358.50 : 1,191,142.13 = 1,191,142.13 : x
  2. Step 2: Convert to fraction form
    789,358.50/1,191,142.13 = 1,191,142.13/x
  3. Step 3: Cross multiply
    789,358.50x = 1,191,142.13 × 1,191,142.13
  4. Step 4: Simplify right side
    789,358.50x = 1,418,819,561,949.52
  5. Step 5: Solve for x
    x = 1,418,819,561,949.52/789,358.50
  6. Step 6: Final answer
    x = 1,797,433.69

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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.