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Finding the Third Proportional to 2,274,768 and 4,810,464

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Solution

The third proportional to 2,274,768 and 4,810,464 is: 10,172,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,768 : 4,810,464 = 4,810,464 : x
  2. Step 2: Convert to fraction form
    2,274,768/4,810,464 = 4,810,464/x
  3. Step 3: Cross multiply
    2,274,768x = 4,810,464 × 4,810,464
  4. Step 4: Simplify right side
    2,274,768x = 23,140,563,895,296
  5. Step 5: Solve for x
    x = 23,140,563,895,296/2,274,768
  6. Step 6: Final answer
    x = 10,172,713.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.