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Finding the Third Proportional to 1,347,579.75 and 1,981,962.75

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Solution

The third proportional to 1,347,579.75 and 1,981,962.75 is: 2,914,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,579.75 : 1,981,962.75 = 1,981,962.75 : x
  2. Step 2: Convert to fraction form
    1,347,579.75/1,981,962.75 = 1,981,962.75/x
  3. Step 3: Cross multiply
    1,347,579.75x = 1,981,962.75 × 1,981,962.75
  4. Step 4: Simplify right side
    1,347,579.75x = 3,928,176,342,387.56
  5. Step 5: Solve for x
    x = 3,928,176,342,387.56/1,347,579.75
  6. Step 6: Final answer
    x = 2,914,986.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.