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Finding the Third Proportional to 1,168,843.50 and 1,748,562.19

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Solution

The third proportional to 1,168,843.50 and 1,748,562.19 is: 2,615,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,843.50 : 1,748,562.19 = 1,748,562.19 : x
  2. Step 2: Convert to fraction form
    1,168,843.50/1,748,562.19 = 1,748,562.19/x
  3. Step 3: Cross multiply
    1,168,843.50x = 1,748,562.19 × 1,748,562.19
  4. Step 4: Simplify right side
    1,168,843.50x = 3,057,469,723,554.79
  5. Step 5: Solve for x
    x = 3,057,469,723,554.79/1,168,843.50
  6. Step 6: Final answer
    x = 2,615,807.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.