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Finding the Third Proportional to 700,408.69 and 1,081,711.13

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Solution

The third proportional to 700,408.69 and 1,081,711.13 is: 1,670,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,408.69 : 1,081,711.13 = 1,081,711.13 : x
  2. Step 2: Convert to fraction form
    700,408.69/1,081,711.13 = 1,081,711.13/x
  3. Step 3: Cross multiply
    700,408.69x = 1,081,711.13 × 1,081,711.13
  4. Step 4: Simplify right side
    700,408.69x = 1,170,098,957,948.77
  5. Step 5: Solve for x
    x = 1,170,098,957,948.77/700,408.69
  6. Step 6: Final answer
    x = 1,670,594.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.