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Finding the Third Proportional to 485,871 and 1,002,864

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Solution

The third proportional to 485,871 and 1,002,864 is: 2,069,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,871 : 1,002,864 = 1,002,864 : x
  2. Step 2: Convert to fraction form
    485,871/1,002,864 = 1,002,864/x
  3. Step 3: Cross multiply
    485,871x = 1,002,864 × 1,002,864
  4. Step 4: Simplify right side
    485,871x = 1,005,736,202,496
  5. Step 5: Solve for x
    x = 1,005,736,202,496/485,871
  6. Step 6: Final answer
    x = 2,069,965.49

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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.