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Finding the Third Proportional to 2,225,228 and 4,765,381

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Solution

The third proportional to 2,225,228 and 4,765,381 is: 10,205,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,228 : 4,765,381 = 4,765,381 : x
  2. Step 2: Convert to fraction form
    2,225,228/4,765,381 = 4,765,381/x
  3. Step 3: Cross multiply
    2,225,228x = 4,765,381 × 4,765,381
  4. Step 4: Simplify right side
    2,225,228x = 22,708,856,075,161
  5. Step 5: Solve for x
    x = 22,708,856,075,161/2,225,228
  6. Step 6: Final answer
    x = 10,205,181.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.