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Finding the Third Proportional to 524,854.69 and 1,413,865.13

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Solution

The third proportional to 524,854.69 and 1,413,865.13 is: 3,808,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,854.69 : 1,413,865.13 = 1,413,865.13 : x
  2. Step 2: Convert to fraction form
    524,854.69/1,413,865.13 = 1,413,865.13/x
  3. Step 3: Cross multiply
    524,854.69x = 1,413,865.13 × 1,413,865.13
  4. Step 4: Simplify right side
    524,854.69x = 1,999,014,591,691.27
  5. Step 5: Solve for x
    x = 1,999,014,591,691.27/524,854.69
  6. Step 6: Final answer
    x = 3,808,701.04

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.