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Finding the Third Proportional to 2,131,274 and 4,565,786

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Solution

The third proportional to 2,131,274 and 4,565,786 is: 9,781,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,274 : 4,565,786 = 4,565,786 : x
  2. Step 2: Convert to fraction form
    2,131,274/4,565,786 = 4,565,786/x
  3. Step 3: Cross multiply
    2,131,274x = 4,565,786 × 4,565,786
  4. Step 4: Simplify right side
    2,131,274x = 20,846,401,797,796
  5. Step 5: Solve for x
    x = 20,846,401,797,796/2,131,274
  6. Step 6: Final answer
    x = 9,781,192.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.