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Finding the Third Proportional to 2,734,578 and 5,935,716

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Solution

The third proportional to 2,734,578 and 5,935,716 is: 12,884,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,578 : 5,935,716 = 5,935,716 : x
  2. Step 2: Convert to fraction form
    2,734,578/5,935,716 = 5,935,716/x
  3. Step 3: Cross multiply
    2,734,578x = 5,935,716 × 5,935,716
  4. Step 4: Simplify right side
    2,734,578x = 35,232,724,432,656
  5. Step 5: Solve for x
    x = 35,232,724,432,656/2,734,578
  6. Step 6: Final answer
    x = 12,884,154.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.