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Finding the Third Proportional to 2,726,402 and 5,734,844

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Solution

The third proportional to 2,726,402 and 5,734,844 is: 12,062,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726,402 : 5,734,844 = 5,734,844 : x
  2. Step 2: Convert to fraction form
    2,726,402/5,734,844 = 5,734,844/x
  3. Step 3: Cross multiply
    2,726,402x = 5,734,844 × 5,734,844
  4. Step 4: Simplify right side
    2,726,402x = 32,888,435,704,336
  5. Step 5: Solve for x
    x = 32,888,435,704,336/2,726,402
  6. Step 6: Final answer
    x = 12,062,944.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.