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Finding the Third Proportional to 463,500 and 1,002,816

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Solution

The third proportional to 463,500 and 1,002,816 is: 2,169,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,500 : 1,002,816 = 1,002,816 : x
  2. Step 2: Convert to fraction form
    463,500/1,002,816 = 1,002,816/x
  3. Step 3: Cross multiply
    463,500x = 1,002,816 × 1,002,816
  4. Step 4: Simplify right side
    463,500x = 1,005,639,929,856
  5. Step 5: Solve for x
    x = 1,005,639,929,856/463,500
  6. Step 6: Final answer
    x = 2,169,665.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.