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Finding the Third Proportional to 443,409 and 969,633

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Solution

The third proportional to 443,409 and 969,633 is: 2,120,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,409 : 969,633 = 969,633 : x
  2. Step 2: Convert to fraction form
    443,409/969,633 = 969,633/x
  3. Step 3: Cross multiply
    443,409x = 969,633 × 969,633
  4. Step 4: Simplify right side
    443,409x = 940,188,154,689
  5. Step 5: Solve for x
    x = 940,188,154,689/443,409
  6. Step 6: Final answer
    x = 2,120,363.26

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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.