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Finding the Third Proportional to 443,413 and 969,641

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Solution

The third proportional to 443,413 and 969,641 is: 2,120,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,413 : 969,641 = 969,641 : x
  2. Step 2: Convert to fraction form
    443,413/969,641 = 969,641/x
  3. Step 3: Cross multiply
    443,413x = 969,641 × 969,641
  4. Step 4: Simplify right side
    443,413x = 940,203,668,881
  5. Step 5: Solve for x
    x = 940,203,668,881/443,413
  6. Step 6: Final answer
    x = 2,120,379.12

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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.