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Finding the Third Proportional to 485,845 and 1,129,433

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Solution

The third proportional to 485,845 and 1,129,433 is: 2,625,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,845 : 1,129,433 = 1,129,433 : x
  2. Step 2: Convert to fraction form
    485,845/1,129,433 = 1,129,433/x
  3. Step 3: Cross multiply
    485,845x = 1,129,433 × 1,129,433
  4. Step 4: Simplify right side
    485,845x = 1,275,618,901,489
  5. Step 5: Solve for x
    x = 1,275,618,901,489/485,845
  6. Step 6: Final answer
    x = 2,625,567.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.