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Finding the Third Proportional to 1,543,596.75 and 2,260,036.69

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Solution

The third proportional to 1,543,596.75 and 2,260,036.69 is: 3,309,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,596.75 : 2,260,036.69 = 2,260,036.69 : x
  2. Step 2: Convert to fraction form
    1,543,596.75/2,260,036.69 = 2,260,036.69/x
  3. Step 3: Cross multiply
    1,543,596.75x = 2,260,036.69 × 2,260,036.69
  4. Step 4: Simplify right side
    1,543,596.75x = 5,107,765,828,845.97
  5. Step 5: Solve for x
    x = 5,107,765,828,845.97/1,543,596.75
  6. Step 6: Final answer
    x = 3,309,002.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.