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Finding the Third Proportional to 575,452 and 1,265,108

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Solution

The third proportional to 575,452 and 1,265,108 is: 2,781,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,452 : 1,265,108 = 1,265,108 : x
  2. Step 2: Convert to fraction form
    575,452/1,265,108 = 1,265,108/x
  3. Step 3: Cross multiply
    575,452x = 1,265,108 × 1,265,108
  4. Step 4: Simplify right side
    575,452x = 1,600,498,251,664
  5. Step 5: Solve for x
    x = 1,600,498,251,664/575,452
  6. Step 6: Final answer
    x = 2,781,288.89

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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.