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Finding the Third Proportional to 443,170 and 961,508

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Solution

The third proportional to 443,170 and 961,508 is: 2,086,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,170 : 961,508 = 961,508 : x
  2. Step 2: Convert to fraction form
    443,170/961,508 = 961,508/x
  3. Step 3: Cross multiply
    443,170x = 961,508 × 961,508
  4. Step 4: Simplify right side
    443,170x = 924,497,634,064
  5. Step 5: Solve for x
    x = 924,497,634,064/443,170
  6. Step 6: Final answer
    x = 2,086,101.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.