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Finding the Third Proportional to 632,480 and 1,382,927

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Solution

The third proportional to 632,480 and 1,382,927 is: 3,023,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,480 : 1,382,927 = 1,382,927 : x
  2. Step 2: Convert to fraction form
    632,480/1,382,927 = 1,382,927/x
  3. Step 3: Cross multiply
    632,480x = 1,382,927 × 1,382,927
  4. Step 4: Simplify right side
    632,480x = 1,912,487,087,329
  5. Step 5: Solve for x
    x = 1,912,487,087,329/632,480
  6. Step 6: Final answer
    x = 3,023,790.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.