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Finding the Third Proportional to 1,524,232.69 and 2,090,065.78

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Solution

The third proportional to 1,524,232.69 and 2,090,065.78 is: 2,865,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,232.69 : 2,090,065.78 = 2,090,065.78 : x
  2. Step 2: Convert to fraction form
    1,524,232.69/2,090,065.78 = 2,090,065.78/x
  3. Step 3: Cross multiply
    1,524,232.69x = 2,090,065.78 × 2,090,065.78
  4. Step 4: Simplify right side
    1,524,232.69x = 4,368,374,969,952.17
  5. Step 5: Solve for x
    x = 4,368,374,969,952.17/1,524,232.69
  6. Step 6: Final answer
    x = 2,865,950.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.