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Finding the Third Proportional to 1,199,711.25 and 1,907,944.88

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Solution

The third proportional to 1,199,711.25 and 1,907,944.88 is: 3,034,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,711.25 : 1,907,944.88 = 1,907,944.88 : x
  2. Step 2: Convert to fraction form
    1,199,711.25/1,907,944.88 = 1,907,944.88/x
  3. Step 3: Cross multiply
    1,199,711.25x = 1,907,944.88 × 1,907,944.88
  4. Step 4: Simplify right side
    1,199,711.25x = 3,640,253,646,038.77
  5. Step 5: Solve for x
    x = 3,640,253,646,038.77/1,199,711.25
  6. Step 6: Final answer
    x = 3,034,274.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.