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Finding the Third Proportional to 2,789,774 and 5,914,343

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Solution

The third proportional to 2,789,774 and 5,914,343 is: 12,538,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789,774 : 5,914,343 = 5,914,343 : x
  2. Step 2: Convert to fraction form
    2,789,774/5,914,343 = 5,914,343/x
  3. Step 3: Cross multiply
    2,789,774x = 5,914,343 × 5,914,343
  4. Step 4: Simplify right side
    2,789,774x = 34,979,453,121,649
  5. Step 5: Solve for x
    x = 34,979,453,121,649/2,789,774
  6. Step 6: Final answer
    x = 12,538,454.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.