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Finding the Third Proportional to 2,180,640 and 5,093,580

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Solution

The third proportional to 2,180,640 and 5,093,580 is: 11,897,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,640 : 5,093,580 = 5,093,580 : x
  2. Step 2: Convert to fraction form
    2,180,640/5,093,580 = 5,093,580/x
  3. Step 3: Cross multiply
    2,180,640x = 5,093,580 × 5,093,580
  4. Step 4: Simplify right side
    2,180,640x = 25,944,557,216,400
  5. Step 5: Solve for x
    x = 25,944,557,216,400/2,180,640
  6. Step 6: Final answer
    x = 11,897,680.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.