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Finding the Third Proportional to 693,140 and 927,150

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Solution

The third proportional to 693,140 and 927,150 is: 1,240,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,140 : 927,150 = 927,150 : x
  2. Step 2: Convert to fraction form
    693,140/927,150 = 927,150/x
  3. Step 3: Cross multiply
    693,140x = 927,150 × 927,150
  4. Step 4: Simplify right side
    693,140x = 859,607,122,500
  5. Step 5: Solve for x
    x = 859,607,122,500/693,140
  6. Step 6: Final answer
    x = 1,240,163.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.