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Finding the Third Proportional to 960,872 and 2,224,160

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Solution

The third proportional to 960,872 and 2,224,160 is: 5,148,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,872 : 2,224,160 = 2,224,160 : x
  2. Step 2: Convert to fraction form
    960,872/2,224,160 = 2,224,160/x
  3. Step 3: Cross multiply
    960,872x = 2,224,160 × 2,224,160
  4. Step 4: Simplify right side
    960,872x = 4,946,887,705,600
  5. Step 5: Solve for x
    x = 4,946,887,705,600/960,872
  6. Step 6: Final answer
    x = 5,148,331.63

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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.