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Finding the Third Proportional to 747,525 and 1,121,057.25

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Solution

The third proportional to 747,525 and 1,121,057.25 is: 1,681,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,525 : 1,121,057.25 = 1,121,057.25 : x
  2. Step 2: Convert to fraction form
    747,525/1,121,057.25 = 1,121,057.25/x
  3. Step 3: Cross multiply
    747,525x = 1,121,057.25 × 1,121,057.25
  4. Step 4: Simplify right side
    747,525x = 1,256,769,357,777.56
  5. Step 5: Solve for x
    x = 1,256,769,357,777.56/747,525
  6. Step 6: Final answer
    x = 1,681,240.57

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Why These Related Problems?

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