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Finding the Third Proportional to 1,084,669.50 and 2,253,414

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Solution

The third proportional to 1,084,669.50 and 2,253,414 is: 4,681,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,669.50 : 2,253,414 = 2,253,414 : x
  2. Step 2: Convert to fraction form
    1,084,669.50/2,253,414 = 2,253,414/x
  3. Step 3: Cross multiply
    1,084,669.50x = 2,253,414 × 2,253,414
  4. Step 4: Simplify right side
    1,084,669.50x = 5,077,874,655,396
  5. Step 5: Solve for x
    x = 5,077,874,655,396/1,084,669.50
  6. Step 6: Final answer
    x = 4,681,494.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.