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Finding the Third Proportional to 1,407,220 and 2,180,334

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Solution

The third proportional to 1,407,220 and 2,180,334 is: 3,378,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,220 : 2,180,334 = 2,180,334 : x
  2. Step 2: Convert to fraction form
    1,407,220/2,180,334 = 2,180,334/x
  3. Step 3: Cross multiply
    1,407,220x = 2,180,334 × 2,180,334
  4. Step 4: Simplify right side
    1,407,220x = 4,753,856,351,556
  5. Step 5: Solve for x
    x = 4,753,856,351,556/1,407,220
  6. Step 6: Final answer
    x = 3,378,189.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.