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Finding the Third Proportional to 463,449 and 1,015,478

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Solution

The third proportional to 463,449 and 1,015,478 is: 2,225,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,449 : 1,015,478 = 1,015,478 : x
  2. Step 2: Convert to fraction form
    463,449/1,015,478 = 1,015,478/x
  3. Step 3: Cross multiply
    463,449x = 1,015,478 × 1,015,478
  4. Step 4: Simplify right side
    463,449x = 1,031,195,568,484
  5. Step 5: Solve for x
    x = 1,031,195,568,484/463,449
  6. Step 6: Final answer
    x = 2,225,046.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.