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Finding the Third Proportional to 2,674,986 and 5,786,280

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Solution

The third proportional to 2,674,986 and 5,786,280 is: 12,516,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,986 : 5,786,280 = 5,786,280 : x
  2. Step 2: Convert to fraction form
    2,674,986/5,786,280 = 5,786,280/x
  3. Step 3: Cross multiply
    2,674,986x = 5,786,280 × 5,786,280
  4. Step 4: Simplify right side
    2,674,986x = 33,481,036,238,400
  5. Step 5: Solve for x
    x = 33,481,036,238,400/2,674,986
  6. Step 6: Final answer
    x = 12,516,340.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.