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Finding the Third Proportional to 747,280.69 and 1,189,644.47

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Solution

The third proportional to 747,280.69 and 1,189,644.47 is: 1,893,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,280.69 : 1,189,644.47 = 1,189,644.47 : x
  2. Step 2: Convert to fraction form
    747,280.69/1,189,644.47 = 1,189,644.47/x
  3. Step 3: Cross multiply
    747,280.69x = 1,189,644.47 × 1,189,644.47
  4. Step 4: Simplify right side
    747,280.69x = 1,415,253,962,027.47
  5. Step 5: Solve for x
    x = 1,415,253,962,027.47/747,280.69
  6. Step 6: Final answer
    x = 1,893,871.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.