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Finding the Third Proportional to 582,348 and 1,234,668

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Solution

The third proportional to 582,348 and 1,234,668 is: 2,617,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,348 : 1,234,668 = 1,234,668 : x
  2. Step 2: Convert to fraction form
    582,348/1,234,668 = 1,234,668/x
  3. Step 3: Cross multiply
    582,348x = 1,234,668 × 1,234,668
  4. Step 4: Simplify right side
    582,348x = 1,524,405,070,224
  5. Step 5: Solve for x
    x = 1,524,405,070,224/582,348
  6. Step 6: Final answer
    x = 2,617,687.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.