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Finding the Third Proportional to 524,976 and 1,146,180

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Solution

The third proportional to 524,976 and 1,146,180 is: 2,502,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,976 : 1,146,180 = 1,146,180 : x
  2. Step 2: Convert to fraction form
    524,976/1,146,180 = 1,146,180/x
  3. Step 3: Cross multiply
    524,976x = 1,146,180 × 1,146,180
  4. Step 4: Simplify right side
    524,976x = 1,313,728,592,400
  5. Step 5: Solve for x
    x = 1,313,728,592,400/524,976
  6. Step 6: Final answer
    x = 2,502,454.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.