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Finding the Third Proportional to 447,049 and 958,017

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Solution

The third proportional to 447,049 and 958,017 is: 2,053,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,049 : 958,017 = 958,017 : x
  2. Step 2: Convert to fraction form
    447,049/958,017 = 958,017/x
  3. Step 3: Cross multiply
    447,049x = 958,017 × 958,017
  4. Step 4: Simplify right side
    447,049x = 917,796,572,289
  5. Step 5: Solve for x
    x = 917,796,572,289/447,049
  6. Step 6: Final answer
    x = 2,053,011.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.