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Finding the Third Proportional to 2,288,786 and 4,970,848

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Solution

The third proportional to 2,288,786 and 4,970,848 is: 10,795,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,786 : 4,970,848 = 4,970,848 : x
  2. Step 2: Convert to fraction form
    2,288,786/4,970,848 = 4,970,848/x
  3. Step 3: Cross multiply
    2,288,786x = 4,970,848 × 4,970,848
  4. Step 4: Simplify right side
    2,288,786x = 24,709,329,839,104
  5. Step 5: Solve for x
    x = 24,709,329,839,104/2,288,786
  6. Step 6: Final answer
    x = 10,795,823.57

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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.