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Finding the Third Proportional to 455,890 and 992,048

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Solution

The third proportional to 455,890 and 992,048 is: 2,158,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,890 : 992,048 = 992,048 : x
  2. Step 2: Convert to fraction form
    455,890/992,048 = 992,048/x
  3. Step 3: Cross multiply
    455,890x = 992,048 × 992,048
  4. Step 4: Simplify right side
    455,890x = 984,159,234,304
  5. Step 5: Solve for x
    x = 984,159,234,304/455,890
  6. Step 6: Final answer
    x = 2,158,764.69

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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.