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Finding the Third Proportional to 960,884 and 2,224,190

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Solution

The third proportional to 960,884 and 2,224,190 is: 5,148,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,884 : 2,224,190 = 2,224,190 : x
  2. Step 2: Convert to fraction form
    960,884/2,224,190 = 2,224,190/x
  3. Step 3: Cross multiply
    960,884x = 2,224,190 × 2,224,190
  4. Step 4: Simplify right side
    960,884x = 4,947,021,156,100
  5. Step 5: Solve for x
    x = 4,947,021,156,100/960,884
  6. Step 6: Final answer
    x = 5,148,406.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.