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Finding the Third Proportional to 2,669,280 and 5,758,463

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Solution

The third proportional to 2,669,280 and 5,758,463 is: 12,422,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669,280 : 5,758,463 = 5,758,463 : x
  2. Step 2: Convert to fraction form
    2,669,280/5,758,463 = 5,758,463/x
  3. Step 3: Cross multiply
    2,669,280x = 5,758,463 × 5,758,463
  4. Step 4: Simplify right side
    2,669,280x = 33,159,896,122,369
  5. Step 5: Solve for x
    x = 33,159,896,122,369/2,669,280
  6. Step 6: Final answer
    x = 12,422,786.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.