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Finding the Third Proportional to 725,795.44 and 1,119,151.69

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Solution

The third proportional to 725,795.44 and 1,119,151.69 is: 1,725,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,795.44 : 1,119,151.69 = 1,119,151.69 : x
  2. Step 2: Convert to fraction form
    725,795.44/1,119,151.69 = 1,119,151.69/x
  3. Step 3: Cross multiply
    725,795.44x = 1,119,151.69 × 1,119,151.69
  4. Step 4: Simplify right side
    725,795.44x = 1,252,500,499,634.10
  5. Step 5: Solve for x
    x = 1,252,500,499,634.10/725,795.44
  6. Step 6: Final answer
    x = 1,725,693.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.