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Finding the Third Proportional to 1,087,827 and 2,356,449

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Solution

The third proportional to 1,087,827 and 2,356,449 is: 5,104,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,827 : 2,356,449 = 2,356,449 : x
  2. Step 2: Convert to fraction form
    1,087,827/2,356,449 = 2,356,449/x
  3. Step 3: Cross multiply
    1,087,827x = 2,356,449 × 2,356,449
  4. Step 4: Simplify right side
    1,087,827x = 5,552,851,889,601
  5. Step 5: Solve for x
    x = 5,552,851,889,601/1,087,827
  6. Step 6: Final answer
    x = 5,104,535.82

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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.