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Finding the Third Proportional to 701,010 and 1,098,225

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Solution

The third proportional to 701,010 and 1,098,225 is: 1,720,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,010 : 1,098,225 = 1,098,225 : x
  2. Step 2: Convert to fraction form
    701,010/1,098,225 = 1,098,225/x
  3. Step 3: Cross multiply
    701,010x = 1,098,225 × 1,098,225
  4. Step 4: Simplify right side
    701,010x = 1,206,098,150,625
  5. Step 5: Solve for x
    x = 1,206,098,150,625/701,010
  6. Step 6: Final answer
    x = 1,720,514.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.