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Finding the Third Proportional to 2,014,092 and 4,382,343

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Solution

The third proportional to 2,014,092 and 4,382,343 is: 9,535,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,092 : 4,382,343 = 4,382,343 : x
  2. Step 2: Convert to fraction form
    2,014,092/4,382,343 = 4,382,343/x
  3. Step 3: Cross multiply
    2,014,092x = 4,382,343 × 4,382,343
  4. Step 4: Simplify right side
    2,014,092x = 19,204,930,169,649
  5. Step 5: Solve for x
    x = 19,204,930,169,649/2,014,092
  6. Step 6: Final answer
    x = 9,535,279.51

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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.