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Finding the Third Proportional to 381,548,461 and 826,482,953

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Solution

The third proportional to 381,548,461 and 826,482,953 is: 1,790,268,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,548,461 : 826,482,953 = 826,482,953 : x
  2. Step 2: Convert to fraction form
    381,548,461/826,482,953 = 826,482,953/x
  3. Step 3: Cross multiply
    381,548,461x = 826,482,953 × 826,482,953
  4. Step 4: Simplify right side
    381,548,461x = 683,074,071,599,600,256
  5. Step 5: Solve for x
    x = 683,074,071,599,600,256/381,548,461
  6. Step 6: Final answer
    x = 1,790,268,187.19

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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.