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Finding the Third Proportional to 748,202 and 1,601,452

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Solution

The third proportional to 748,202 and 1,601,452 is: 3,427,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,202 : 1,601,452 = 1,601,452 : x
  2. Step 2: Convert to fraction form
    748,202/1,601,452 = 1,601,452/x
  3. Step 3: Cross multiply
    748,202x = 1,601,452 × 1,601,452
  4. Step 4: Simplify right side
    748,202x = 2,564,648,508,304
  5. Step 5: Solve for x
    x = 2,564,648,508,304/748,202
  6. Step 6: Final answer
    x = 3,427,748.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.