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Finding the Third Proportional to 946,500 and 2,053,542

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Solution

The third proportional to 946,500 and 2,053,542 is: 4,455,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,500 : 2,053,542 = 2,053,542 : x
  2. Step 2: Convert to fraction form
    946,500/2,053,542 = 2,053,542/x
  3. Step 3: Cross multiply
    946,500x = 2,053,542 × 2,053,542
  4. Step 4: Simplify right side
    946,500x = 4,217,034,745,764
  5. Step 5: Solve for x
    x = 4,217,034,745,764/946,500
  6. Step 6: Final answer
    x = 4,455,398.57

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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.