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Finding the Third Proportional to 2,471,024 and 5,414,440

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Solution

The third proportional to 2,471,024 and 5,414,440 is: 11,863,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,024 : 5,414,440 = 5,414,440 : x
  2. Step 2: Convert to fraction form
    2,471,024/5,414,440 = 5,414,440/x
  3. Step 3: Cross multiply
    2,471,024x = 5,414,440 × 5,414,440
  4. Step 4: Simplify right side
    2,471,024x = 29,316,160,513,600
  5. Step 5: Solve for x
    x = 29,316,160,513,600/2,471,024
  6. Step 6: Final answer
    x = 11,863,972.39

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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.