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Finding the Third Proportional to 454,585 and 956,149

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Solution

The third proportional to 454,585 and 956,149 is: 2,011,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,585 : 956,149 = 956,149 : x
  2. Step 2: Convert to fraction form
    454,585/956,149 = 956,149/x
  3. Step 3: Cross multiply
    454,585x = 956,149 × 956,149
  4. Step 4: Simplify right side
    454,585x = 914,220,910,201
  5. Step 5: Solve for x
    x = 914,220,910,201/454,585
  6. Step 6: Final answer
    x = 2,011,111.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.