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Finding the Third Proportional to 1,153,811.25 and 2,529,039.38

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Solution

The third proportional to 1,153,811.25 and 2,529,039.38 is: 5,543,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,811.25 : 2,529,039.38 = 2,529,039.38 : x
  2. Step 2: Convert to fraction form
    1,153,811.25/2,529,039.38 = 2,529,039.38/x
  3. Step 3: Cross multiply
    1,153,811.25x = 2,529,039.38 × 2,529,039.38
  4. Step 4: Simplify right side
    1,153,811.25x = 6,396,040,160,300.39
  5. Step 5: Solve for x
    x = 6,396,040,160,300.39/1,153,811.25
  6. Step 6: Final answer
    x = 5,543,402.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.