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Finding the Third Proportional to 839,640 and 1,811,952

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Solution

The third proportional to 839,640 and 1,811,952 is: 3,910,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,640 : 1,811,952 = 1,811,952 : x
  2. Step 2: Convert to fraction form
    839,640/1,811,952 = 1,811,952/x
  3. Step 3: Cross multiply
    839,640x = 1,811,952 × 1,811,952
  4. Step 4: Simplify right side
    839,640x = 3,283,170,050,304
  5. Step 5: Solve for x
    x = 3,283,170,050,304/839,640
  6. Step 6: Final answer
    x = 3,910,211.58

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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.