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Finding the Third Proportional to 2,851,654 and 6,340,878

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Solution

The third proportional to 2,851,654 and 6,340,878 is: 14,099,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,654 : 6,340,878 = 6,340,878 : x
  2. Step 2: Convert to fraction form
    2,851,654/6,340,878 = 6,340,878/x
  3. Step 3: Cross multiply
    2,851,654x = 6,340,878 × 6,340,878
  4. Step 4: Simplify right side
    2,851,654x = 40,206,733,810,884
  5. Step 5: Solve for x
    x = 40,206,733,810,884/2,851,654
  6. Step 6: Final answer
    x = 14,099,443.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.