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Finding the Third Proportional to 456,450 and 985,074

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Solution

The third proportional to 456,450 and 985,074 is: 2,125,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,450 : 985,074 = 985,074 : x
  2. Step 2: Convert to fraction form
    456,450/985,074 = 985,074/x
  3. Step 3: Cross multiply
    456,450x = 985,074 × 985,074
  4. Step 4: Simplify right side
    456,450x = 970,370,785,476
  5. Step 5: Solve for x
    x = 970,370,785,476/456,450
  6. Step 6: Final answer
    x = 2,125,908.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.