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Finding the Third Proportional to 722,432 and 1,125,012

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Solution

The third proportional to 722,432 and 1,125,012 is: 1,751,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,432 : 1,125,012 = 1,125,012 : x
  2. Step 2: Convert to fraction form
    722,432/1,125,012 = 1,125,012/x
  3. Step 3: Cross multiply
    722,432x = 1,125,012 × 1,125,012
  4. Step 4: Simplify right side
    722,432x = 1,265,652,000,144
  5. Step 5: Solve for x
    x = 1,265,652,000,144/722,432
  6. Step 6: Final answer
    x = 1,751,932.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.