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Finding the Third Proportional to 524,854.69 and 1,143,046.69

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Solution

The third proportional to 524,854.69 and 1,143,046.69 is: 2,489,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,854.69 : 1,143,046.69 = 1,143,046.69 : x
  2. Step 2: Convert to fraction form
    524,854.69/1,143,046.69 = 1,143,046.69/x
  3. Step 3: Cross multiply
    524,854.69x = 1,143,046.69 × 1,143,046.69
  4. Step 4: Simplify right side
    524,854.69x = 1,306,555,729,804.72
  5. Step 5: Solve for x
    x = 1,306,555,729,804.72/524,854.69
  6. Step 6: Final answer
    x = 2,489,366.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.