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Finding the Third Proportional to 486,459 and 1,044,846

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Solution

The third proportional to 486,459 and 1,044,846 is: 2,244,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,459 : 1,044,846 = 1,044,846 : x
  2. Step 2: Convert to fraction form
    486,459/1,044,846 = 1,044,846/x
  3. Step 3: Cross multiply
    486,459x = 1,044,846 × 1,044,846
  4. Step 4: Simplify right side
    486,459x = 1,091,703,163,716
  5. Step 5: Solve for x
    x = 1,091,703,163,716/486,459
  6. Step 6: Final answer
    x = 2,244,183.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.