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Finding the Third Proportional to 961,231 and 2,269,078

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Solution

The third proportional to 961,231 and 2,269,078 is: 5,356,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,231 : 2,269,078 = 2,269,078 : x
  2. Step 2: Convert to fraction form
    961,231/2,269,078 = 2,269,078/x
  3. Step 3: Cross multiply
    961,231x = 2,269,078 × 2,269,078
  4. Step 4: Simplify right side
    961,231x = 5,148,714,970,084
  5. Step 5: Solve for x
    x = 5,148,714,970,084/961,231
  6. Step 6: Final answer
    x = 5,356,376.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.