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Finding the Third Proportional to 1,155,249.94 and 2,576,129.81

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Solution

The third proportional to 1,155,249.94 and 2,576,129.81 is: 5,744,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,249.94 : 2,576,129.81 = 2,576,129.81 : x
  2. Step 2: Convert to fraction form
    1,155,249.94/2,576,129.81 = 2,576,129.81/x
  3. Step 3: Cross multiply
    1,155,249.94x = 2,576,129.81 × 2,576,129.81
  4. Step 4: Simplify right side
    1,155,249.94x = 6,636,444,810,851.29
  5. Step 5: Solve for x
    x = 6,636,444,810,851.29/1,155,249.94
  6. Step 6: Final answer
    x = 5,744,596.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.