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Finding the Third Proportional to 381,548,486 and 826,483,004

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Solution

The third proportional to 381,548,486 and 826,483,004 is: 1,790,268,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,548,486 : 826,483,004 = 826,483,004 : x
  2. Step 2: Convert to fraction form
    381,548,486/826,483,004 = 826,483,004/x
  3. Step 3: Cross multiply
    381,548,486x = 826,483,004 × 826,483,004
  4. Step 4: Simplify right side
    381,548,486x = 683,074,155,900,864,000
  5. Step 5: Solve for x
    x = 683,074,155,900,864,000/381,548,486
  6. Step 6: Final answer
    x = 1,790,268,290.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.