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Finding the Third Proportional to 1,746,822 and 3,801,189

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Solution

The third proportional to 1,746,822 and 3,801,189 is: 8,271,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,822 : 3,801,189 = 3,801,189 : x
  2. Step 2: Convert to fraction form
    1,746,822/3,801,189 = 3,801,189/x
  3. Step 3: Cross multiply
    1,746,822x = 3,801,189 × 3,801,189
  4. Step 4: Simplify right side
    1,746,822x = 14,449,037,813,721
  5. Step 5: Solve for x
    x = 14,449,037,813,721/1,746,822
  6. Step 6: Final answer
    x = 8,271,614.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.