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Finding the Third Proportional to 1,177,349 and 2,542,916

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Solution

The third proportional to 1,177,349 and 2,542,916 is: 5,492,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,349 : 2,542,916 = 2,542,916 : x
  2. Step 2: Convert to fraction form
    1,177,349/2,542,916 = 2,542,916/x
  3. Step 3: Cross multiply
    1,177,349x = 2,542,916 × 2,542,916
  4. Step 4: Simplify right side
    1,177,349x = 6,466,421,783,056
  5. Step 5: Solve for x
    x = 6,466,421,783,056/1,177,349
  6. Step 6: Final answer
    x = 5,492,357.65

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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.