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Finding the Third Proportional to 381,542,926 and 826,471,348

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Solution

The third proportional to 381,542,926 and 826,471,348 is: 1,790,243,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,542,926 : 826,471,348 = 826,471,348 : x
  2. Step 2: Convert to fraction form
    381,542,926/826,471,348 = 826,471,348/x
  3. Step 3: Cross multiply
    381,542,926x = 826,471,348 × 826,471,348
  4. Step 4: Simplify right side
    381,542,926x = 683,054,889,064,937,088
  5. Step 5: Solve for x
    x = 683,054,889,064,937,088/381,542,926
  6. Step 6: Final answer
    x = 1,790,243,882.19

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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.