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Finding the Third Proportional to 1,313,725.50 and 1,995,261.75

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Solution

The third proportional to 1,313,725.50 and 1,995,261.75 is: 3,030,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,725.50 : 1,995,261.75 = 1,995,261.75 : x
  2. Step 2: Convert to fraction form
    1,313,725.50/1,995,261.75 = 1,995,261.75/x
  3. Step 3: Cross multiply
    1,313,725.50x = 1,995,261.75 × 1,995,261.75
  4. Step 4: Simplify right side
    1,313,725.50x = 3,981,069,451,013.06
  5. Step 5: Solve for x
    x = 3,981,069,451,013.06/1,313,725.50
  6. Step 6: Final answer
    x = 3,030,366.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.