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Finding the Third Proportional to 454,175 and 985,624

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Solution

The third proportional to 454,175 and 985,624 is: 2,138,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,175 : 985,624 = 985,624 : x
  2. Step 2: Convert to fraction form
    454,175/985,624 = 985,624/x
  3. Step 3: Cross multiply
    454,175x = 985,624 × 985,624
  4. Step 4: Simplify right side
    454,175x = 971,454,669,376
  5. Step 5: Solve for x
    x = 971,454,669,376/454,175
  6. Step 6: Final answer
    x = 2,138,943.51

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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.