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Finding the Third Proportional to 1,151,625 and 2,377,014

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Solution

The third proportional to 1,151,625 and 2,377,014 is: 4,906,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,625 : 2,377,014 = 2,377,014 : x
  2. Step 2: Convert to fraction form
    1,151,625/2,377,014 = 2,377,014/x
  3. Step 3: Cross multiply
    1,151,625x = 2,377,014 × 2,377,014
  4. Step 4: Simplify right side
    1,151,625x = 5,650,195,556,196
  5. Step 5: Solve for x
    x = 5,650,195,556,196/1,151,625
  6. Step 6: Final answer
    x = 4,906,280.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.