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Finding the Third Proportional to 286,508,486 and 613,896,376

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Solution

The third proportional to 286,508,486 and 613,896,376 is: 1,315,384,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,508,486 : 613,896,376 = 613,896,376 : x
  2. Step 2: Convert to fraction form
    286,508,486/613,896,376 = 613,896,376/x
  3. Step 3: Cross multiply
    286,508,486x = 613,896,376 × 613,896,376
  4. Step 4: Simplify right side
    286,508,486x = 376,868,760,465,933,376
  5. Step 5: Solve for x
    x = 376,868,760,465,933,376/286,508,486
  6. Step 6: Final answer
    x = 1,315,384,286.61

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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.