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Finding the Third Proportional to 853,548 and 1,839,424

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Solution

The third proportional to 853,548 and 1,839,424 is: 3,964,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,548 : 1,839,424 = 1,839,424 : x
  2. Step 2: Convert to fraction form
    853,548/1,839,424 = 1,839,424/x
  3. Step 3: Cross multiply
    853,548x = 1,839,424 × 1,839,424
  4. Step 4: Simplify right side
    853,548x = 3,383,480,651,776
  5. Step 5: Solve for x
    x = 3,383,480,651,776/853,548
  6. Step 6: Final answer
    x = 3,964,019.19

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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.