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Finding the Third Proportional to 968,162 and 2,107,320

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Solution

The third proportional to 968,162 and 2,107,320 is: 4,586,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,162 : 2,107,320 = 2,107,320 : x
  2. Step 2: Convert to fraction form
    968,162/2,107,320 = 2,107,320/x
  3. Step 3: Cross multiply
    968,162x = 2,107,320 × 2,107,320
  4. Step 4: Simplify right side
    968,162x = 4,440,797,582,400
  5. Step 5: Solve for x
    x = 4,440,797,582,400/968,162
  6. Step 6: Final answer
    x = 4,586,833.18

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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.