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Finding the Third Proportional to 682,966.69 and 1,002,306.66

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Solution

The third proportional to 682,966.69 and 1,002,306.66 is: 1,470,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,966.69 : 1,002,306.66 = 1,002,306.66 : x
  2. Step 2: Convert to fraction form
    682,966.69/1,002,306.66 = 1,002,306.66/x
  3. Step 3: Cross multiply
    682,966.69x = 1,002,306.66 × 1,002,306.66
  4. Step 4: Simplify right side
    682,966.69x = 1,004,618,633,163.06
  5. Step 5: Solve for x
    x = 1,004,618,633,163.06/682,966.69
  6. Step 6: Final answer
    x = 1,470,962.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.