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Finding the Third Proportional to 2,879,821 and 6,187,015

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Solution

The third proportional to 2,879,821 and 6,187,015 is: 13,292,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,821 : 6,187,015 = 6,187,015 : x
  2. Step 2: Convert to fraction form
    2,879,821/6,187,015 = 6,187,015/x
  3. Step 3: Cross multiply
    2,879,821x = 6,187,015 × 6,187,015
  4. Step 4: Simplify right side
    2,879,821x = 38,279,154,610,225
  5. Step 5: Solve for x
    x = 38,279,154,610,225/2,879,821
  6. Step 6: Final answer
    x = 13,292,199.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.