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Finding the Third Proportional to 486,880 and 1,055,952

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Solution

The third proportional to 486,880 and 1,055,952 is: 2,290,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,880 : 1,055,952 = 1,055,952 : x
  2. Step 2: Convert to fraction form
    486,880/1,055,952 = 1,055,952/x
  3. Step 3: Cross multiply
    486,880x = 1,055,952 × 1,055,952
  4. Step 4: Simplify right side
    486,880x = 1,115,034,626,304
  5. Step 5: Solve for x
    x = 1,115,034,626,304/486,880
  6. Step 6: Final answer
    x = 2,290,163.13

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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.