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Finding the Third Proportional to 575,418 and 1,265,044

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Solution

The third proportional to 575,418 and 1,265,044 is: 2,781,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,418 : 1,265,044 = 1,265,044 : x
  2. Step 2: Convert to fraction form
    575,418/1,265,044 = 1,265,044/x
  3. Step 3: Cross multiply
    575,418x = 1,265,044 × 1,265,044
  4. Step 4: Simplify right side
    575,418x = 1,600,336,321,936
  5. Step 5: Solve for x
    x = 1,600,336,321,936/575,418
  6. Step 6: Final answer
    x = 2,781,171.81

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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.