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Finding the Third Proportional to 1,144,800 and 2,486,412

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Solution

The third proportional to 1,144,800 and 2,486,412 is: 5,400,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,800 : 2,486,412 = 2,486,412 : x
  2. Step 2: Convert to fraction form
    1,144,800/2,486,412 = 2,486,412/x
  3. Step 3: Cross multiply
    1,144,800x = 2,486,412 × 2,486,412
  4. Step 4: Simplify right side
    1,144,800x = 6,182,244,633,744
  5. Step 5: Solve for x
    x = 6,182,244,633,744/1,144,800
  6. Step 6: Final answer
    x = 5,400,283.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.