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Finding the Third Proportional to 443,865 and 970,779

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Solution

The third proportional to 443,865 and 970,779 is: 2,123,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,865 : 970,779 = 970,779 : x
  2. Step 2: Convert to fraction form
    443,865/970,779 = 970,779/x
  3. Step 3: Cross multiply
    443,865x = 970,779 × 970,779
  4. Step 4: Simplify right side
    443,865x = 942,411,866,841
  5. Step 5: Solve for x
    x = 942,411,866,841/443,865
  6. Step 6: Final answer
    x = 2,123,194.82

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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.