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Finding the Third Proportional to 2,194,659 and 5,286,607

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Solution

The third proportional to 2,194,659 and 5,286,607 is: 12,734,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,659 : 5,286,607 = 5,286,607 : x
  2. Step 2: Convert to fraction form
    2,194,659/5,286,607 = 5,286,607/x
  3. Step 3: Cross multiply
    2,194,659x = 5,286,607 × 5,286,607
  4. Step 4: Simplify right side
    2,194,659x = 27,948,213,572,449
  5. Step 5: Solve for x
    x = 27,948,213,572,449/2,194,659
  6. Step 6: Final answer
    x = 12,734,649.70

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.