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Finding the Third Proportional to 485,890 and 1,002,896

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Solution

The third proportional to 485,890 and 1,002,896 is: 2,070,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,890 : 1,002,896 = 1,002,896 : x
  2. Step 2: Convert to fraction form
    485,890/1,002,896 = 1,002,896/x
  3. Step 3: Cross multiply
    485,890x = 1,002,896 × 1,002,896
  4. Step 4: Simplify right side
    485,890x = 1,005,800,386,816
  5. Step 5: Solve for x
    x = 1,005,800,386,816/485,890
  6. Step 6: Final answer
    x = 2,070,016.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.