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Finding the Third Proportional to 750,880 and 1,633,952

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Solution

The third proportional to 750,880 and 1,633,952 is: 3,555,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,880 : 1,633,952 = 1,633,952 : x
  2. Step 2: Convert to fraction form
    750,880/1,633,952 = 1,633,952/x
  3. Step 3: Cross multiply
    750,880x = 1,633,952 × 1,633,952
  4. Step 4: Simplify right side
    750,880x = 2,669,799,138,304
  5. Step 5: Solve for x
    x = 2,669,799,138,304/750,880
  6. Step 6: Final answer
    x = 3,555,560.33

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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.