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Finding the Third Proportional to 1,231,410 and 2,694,758

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Solution

The third proportional to 1,231,410 and 2,694,758 is: 5,897,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,410 : 2,694,758 = 2,694,758 : x
  2. Step 2: Convert to fraction form
    1,231,410/2,694,758 = 2,694,758/x
  3. Step 3: Cross multiply
    1,231,410x = 2,694,758 × 2,694,758
  4. Step 4: Simplify right side
    1,231,410x = 7,261,720,678,564
  5. Step 5: Solve for x
    x = 7,261,720,678,564/1,231,410
  6. Step 6: Final answer
    x = 5,897,077.89

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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.