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Finding the Third Proportional to 700,149 and 1,086,225

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Solution

The third proportional to 700,149 and 1,086,225 is: 1,685,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,149 : 1,086,225 = 1,086,225 : x
  2. Step 2: Convert to fraction form
    700,149/1,086,225 = 1,086,225/x
  3. Step 3: Cross multiply
    700,149x = 1,086,225 × 1,086,225
  4. Step 4: Simplify right side
    700,149x = 1,179,884,750,625
  5. Step 5: Solve for x
    x = 1,179,884,750,625/700,149
  6. Step 6: Final answer
    x = 1,685,190.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.