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Finding the Third Proportional to 747,234 and 1,189,577

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Solution

The third proportional to 747,234 and 1,189,577 is: 1,893,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,234 : 1,189,577 = 1,189,577 : x
  2. Step 2: Convert to fraction form
    747,234/1,189,577 = 1,189,577/x
  3. Step 3: Cross multiply
    747,234x = 1,189,577 × 1,189,577
  4. Step 4: Simplify right side
    747,234x = 1,415,093,438,929
  5. Step 5: Solve for x
    x = 1,415,093,438,929/747,234
  6. Step 6: Final answer
    x = 1,893,775.50

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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.