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Finding the Third Proportional to 782,241 and 1,648,550

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Solution

The third proportional to 782,241 and 1,648,550 is: 3,474,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,241 : 1,648,550 = 1,648,550 : x
  2. Step 2: Convert to fraction form
    782,241/1,648,550 = 1,648,550/x
  3. Step 3: Cross multiply
    782,241x = 1,648,550 × 1,648,550
  4. Step 4: Simplify right side
    782,241x = 2,717,717,102,500
  5. Step 5: Solve for x
    x = 2,717,717,102,500/782,241
  6. Step 6: Final answer
    x = 3,474,270.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.