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Finding the Third Proportional to 2,182,058 and 4,770,412

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Solution

The third proportional to 2,182,058 and 4,770,412 is: 10,429,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,058 : 4,770,412 = 4,770,412 : x
  2. Step 2: Convert to fraction form
    2,182,058/4,770,412 = 4,770,412/x
  3. Step 3: Cross multiply
    2,182,058x = 4,770,412 × 4,770,412
  4. Step 4: Simplify right side
    2,182,058x = 22,756,830,649,744
  5. Step 5: Solve for x
    x = 22,756,830,649,744/2,182,058
  6. Step 6: Final answer
    x = 10,429,067.72

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