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Finding the Third Proportional to 753,103 and 1,655,469

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Solution

The third proportional to 753,103 and 1,655,469 is: 3,639,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,103 : 1,655,469 = 1,655,469 : x
  2. Step 2: Convert to fraction form
    753,103/1,655,469 = 1,655,469/x
  3. Step 3: Cross multiply
    753,103x = 1,655,469 × 1,655,469
  4. Step 4: Simplify right side
    753,103x = 2,740,577,609,961
  5. Step 5: Solve for x
    x = 2,740,577,609,961/753,103
  6. Step 6: Final answer
    x = 3,639,047.53

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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.