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Finding the Third Proportional to 662,797.69 and 1,013,446.69

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Solution

The third proportional to 662,797.69 and 1,013,446.69 is: 1,549,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,797.69 : 1,013,446.69 = 1,013,446.69 : x
  2. Step 2: Convert to fraction form
    662,797.69/1,013,446.69 = 1,013,446.69/x
  3. Step 3: Cross multiply
    662,797.69x = 1,013,446.69 × 1,013,446.69
  4. Step 4: Simplify right side
    662,797.69x = 1,027,074,188,404.72
  5. Step 5: Solve for x
    x = 1,027,074,188,404.72/662,797.69
  6. Step 6: Final answer
    x = 1,549,604.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.