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Finding the Third Proportional to 524,854.69 and 1,133,443.13

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Solution

The third proportional to 524,854.69 and 1,133,443.13 is: 2,447,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,854.69 : 1,133,443.13 = 1,133,443.13 : x
  2. Step 2: Convert to fraction form
    524,854.69/1,133,443.13 = 1,133,443.13/x
  3. Step 3: Cross multiply
    524,854.69x = 1,133,443.13 × 1,133,443.13
  4. Step 4: Simplify right side
    524,854.69x = 1,284,693,317,609.77
  5. Step 5: Solve for x
    x = 1,284,693,317,609.77/524,854.69
  6. Step 6: Final answer
    x = 2,447,712.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.