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Finding the Third Proportional to 2,734,396 and 5,983,376

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Solution

The third proportional to 2,734,396 and 5,983,376 is: 13,092,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,396 : 5,983,376 = 5,983,376 : x
  2. Step 2: Convert to fraction form
    2,734,396/5,983,376 = 5,983,376/x
  3. Step 3: Cross multiply
    2,734,396x = 5,983,376 × 5,983,376
  4. Step 4: Simplify right side
    2,734,396x = 35,800,788,357,376
  5. Step 5: Solve for x
    x = 35,800,788,357,376/2,734,396
  6. Step 6: Final answer
    x = 13,092,759.19

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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.