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Finding the Third Proportional to 463,744 and 1,006,800

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Solution

The third proportional to 463,744 and 1,006,800 is: 2,185,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744 : 1,006,800 = 1,006,800 : x
  2. Step 2: Convert to fraction form
    463,744/1,006,800 = 1,006,800/x
  3. Step 3: Cross multiply
    463,744x = 1,006,800 × 1,006,800
  4. Step 4: Simplify right side
    463,744x = 1,013,646,240,000
  5. Step 5: Solve for x
    x = 1,013,646,240,000/463,744
  6. Step 6: Final answer
    x = 2,185,788.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.