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Finding the Third Proportional to 2,471,033 and 5,414,458

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Solution

The third proportional to 2,471,033 and 5,414,458 is: 11,864,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,033 : 5,414,458 = 5,414,458 : x
  2. Step 2: Convert to fraction form
    2,471,033/5,414,458 = 5,414,458/x
  3. Step 3: Cross multiply
    2,471,033x = 5,414,458 × 5,414,458
  4. Step 4: Simplify right side
    2,471,033x = 29,316,355,433,764
  5. Step 5: Solve for x
    x = 29,316,355,433,764/2,471,033
  6. Step 6: Final answer
    x = 11,864,008.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.