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Finding the Third Proportional to 485,864 and 1,024,540

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Solution

The third proportional to 485,864 and 1,024,540 is: 2,160,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,864 : 1,024,540 = 1,024,540 : x
  2. Step 2: Convert to fraction form
    485,864/1,024,540 = 1,024,540/x
  3. Step 3: Cross multiply
    485,864x = 1,024,540 × 1,024,540
  4. Step 4: Simplify right side
    485,864x = 1,049,682,211,600
  5. Step 5: Solve for x
    x = 1,049,682,211,600/485,864
  6. Step 6: Final answer
    x = 2,160,444.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.