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Finding the Third Proportional to 786,840.75 and 1,154,439

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Solution

The third proportional to 786,840.75 and 1,154,439 is: 1,693,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,840.75 : 1,154,439 = 1,154,439 : x
  2. Step 2: Convert to fraction form
    786,840.75/1,154,439 = 1,154,439/x
  3. Step 3: Cross multiply
    786,840.75x = 1,154,439 × 1,154,439
  4. Step 4: Simplify right side
    786,840.75x = 1,332,729,404,721
  5. Step 5: Solve for x
    x = 1,332,729,404,721/786,840.75
  6. Step 6: Final answer
    x = 1,693,772.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.