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Finding the Third Proportional to 456,496 and 985,172

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Solution

The third proportional to 456,496 and 985,172 is: 2,126,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,496 : 985,172 = 985,172 : x
  2. Step 2: Convert to fraction form
    456,496/985,172 = 985,172/x
  3. Step 3: Cross multiply
    456,496x = 985,172 × 985,172
  4. Step 4: Simplify right side
    456,496x = 970,563,869,584
  5. Step 5: Solve for x
    x = 970,563,869,584/456,496
  6. Step 6: Final answer
    x = 2,126,116.92

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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.