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Finding the Third Proportional to 463,500 and 1,015,548

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Solution

The third proportional to 463,500 and 1,015,548 is: 2,225,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,500 : 1,015,548 = 1,015,548 : x
  2. Step 2: Convert to fraction form
    463,500/1,015,548 = 1,015,548/x
  3. Step 3: Cross multiply
    463,500x = 1,015,548 × 1,015,548
  4. Step 4: Simplify right side
    463,500x = 1,031,337,740,304
  5. Step 5: Solve for x
    x = 1,031,337,740,304/463,500
  6. Step 6: Final answer
    x = 2,225,108.39

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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.