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Finding the Third Proportional to 665,909 and 1,467,548

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Solution

The third proportional to 665,909 and 1,467,548 is: 3,234,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,909 : 1,467,548 = 1,467,548 : x
  2. Step 2: Convert to fraction form
    665,909/1,467,548 = 1,467,548/x
  3. Step 3: Cross multiply
    665,909x = 1,467,548 × 1,467,548
  4. Step 4: Simplify right side
    665,909x = 2,153,697,132,304
  5. Step 5: Solve for x
    x = 2,153,697,132,304/665,909
  6. Step 6: Final answer
    x = 3,234,221.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.