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Finding the Third Proportional to 443,826 and 970,687

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Solution

The third proportional to 443,826 and 970,687 is: 2,122,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,826 : 970,687 = 970,687 : x
  2. Step 2: Convert to fraction form
    443,826/970,687 = 970,687/x
  3. Step 3: Cross multiply
    443,826x = 970,687 × 970,687
  4. Step 4: Simplify right side
    443,826x = 942,233,251,969
  5. Step 5: Solve for x
    x = 942,233,251,969/443,826
  6. Step 6: Final answer
    x = 2,122,978.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.