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Finding the Third Proportional to 489,414 and 1,083,642

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Solution

The third proportional to 489,414 and 1,083,642 is: 2,399,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,414 : 1,083,642 = 1,083,642 : x
  2. Step 2: Convert to fraction form
    489,414/1,083,642 = 1,083,642/x
  3. Step 3: Cross multiply
    489,414x = 1,083,642 × 1,083,642
  4. Step 4: Simplify right side
    489,414x = 1,174,279,984,164
  5. Step 5: Solve for x
    x = 1,174,279,984,164/489,414
  6. Step 6: Final answer
    x = 2,399,359.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.