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Finding the Third Proportional to 2,471,017 and 5,414,426

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Solution

The third proportional to 2,471,017 and 5,414,426 is: 11,863,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,017 : 5,414,426 = 5,414,426 : x
  2. Step 2: Convert to fraction form
    2,471,017/5,414,426 = 5,414,426/x
  3. Step 3: Cross multiply
    2,471,017x = 5,414,426 × 5,414,426
  4. Step 4: Simplify right side
    2,471,017x = 29,316,008,909,476
  5. Step 5: Solve for x
    x = 29,316,008,909,476/2,471,017
  6. Step 6: Final answer
    x = 11,863,944.65

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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.