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Finding the Third Proportional to 381,548,459 and 826,482,949

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Solution

The third proportional to 381,548,459 and 826,482,949 is: 1,790,268,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,548,459 : 826,482,949 = 826,482,949 : x
  2. Step 2: Convert to fraction form
    381,548,459/826,482,949 = 826,482,949/x
  3. Step 3: Cross multiply
    381,548,459x = 826,482,949 × 826,482,949
  4. Step 4: Simplify right side
    381,548,459x = 683,074,064,987,736,576
  5. Step 5: Solve for x
    x = 683,074,064,987,736,576/381,548,459
  6. Step 6: Final answer
    x = 1,790,268,179.25

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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.