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Finding the Third Proportional to 982,736 and 2,143,348

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Solution

The third proportional to 982,736 and 2,143,348 is: 4,674,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,736 : 2,143,348 = 2,143,348 : x
  2. Step 2: Convert to fraction form
    982,736/2,143,348 = 2,143,348/x
  3. Step 3: Cross multiply
    982,736x = 2,143,348 × 2,143,348
  4. Step 4: Simplify right side
    982,736x = 4,593,940,649,104
  5. Step 5: Solve for x
    x = 4,593,940,649,104/982,736
  6. Step 6: Final answer
    x = 4,674,643.70

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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.