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Finding the Third Proportional to 2,734,380 and 5,983,668

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Solution

The third proportional to 2,734,380 and 5,983,668 is: 13,094,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,380 : 5,983,668 = 5,983,668 : x
  2. Step 2: Convert to fraction form
    2,734,380/5,983,668 = 5,983,668/x
  3. Step 3: Cross multiply
    2,734,380x = 5,983,668 × 5,983,668
  4. Step 4: Simplify right side
    2,734,380x = 35,804,282,734,224
  5. Step 5: Solve for x
    x = 35,804,282,734,224/2,734,380
  6. Step 6: Final answer
    x = 13,094,113.74

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Why These Related Problems?

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