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Finding the Third Proportional to 1,836,441 and 3,967,965

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Solution

The third proportional to 1,836,441 and 3,967,965 is: 8,573,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,441 : 3,967,965 = 3,967,965 : x
  2. Step 2: Convert to fraction form
    1,836,441/3,967,965 = 3,967,965/x
  3. Step 3: Cross multiply
    1,836,441x = 3,967,965 × 3,967,965
  4. Step 4: Simplify right side
    1,836,441x = 15,744,746,241,225
  5. Step 5: Solve for x
    x = 15,744,746,241,225/1,836,441
  6. Step 6: Final answer
    x = 8,573,510.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.