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Finding the Third Proportional to 1,828,224 and 3,961,548

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Solution

The third proportional to 1,828,224 and 3,961,548 is: 8,584,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,224 : 3,961,548 = 3,961,548 : x
  2. Step 2: Convert to fraction form
    1,828,224/3,961,548 = 3,961,548/x
  3. Step 3: Cross multiply
    1,828,224x = 3,961,548 × 3,961,548
  4. Step 4: Simplify right side
    1,828,224x = 15,693,862,556,304
  5. Step 5: Solve for x
    x = 15,693,862,556,304/1,828,224
  6. Step 6: Final answer
    x = 8,584,212.09

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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.