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Finding the Third Proportional to 485,403 and 1,009,542

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Solution

The third proportional to 485,403 and 1,009,542 is: 2,099,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,403 : 1,009,542 = 1,009,542 : x
  2. Step 2: Convert to fraction form
    485,403/1,009,542 = 1,009,542/x
  3. Step 3: Cross multiply
    485,403x = 1,009,542 × 1,009,542
  4. Step 4: Simplify right side
    485,403x = 1,019,175,049,764
  5. Step 5: Solve for x
    x = 1,019,175,049,764/485,403
  6. Step 6: Final answer
    x = 2,099,647.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.