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Finding the Third Proportional to 961,478 and 1,392,644

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Solution

The third proportional to 961,478 and 1,392,644 is: 2,017,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,478 : 1,392,644 = 1,392,644 : x
  2. Step 2: Convert to fraction form
    961,478/1,392,644 = 1,392,644/x
  3. Step 3: Cross multiply
    961,478x = 1,392,644 × 1,392,644
  4. Step 4: Simplify right side
    961,478x = 1,939,457,310,736
  5. Step 5: Solve for x
    x = 1,939,457,310,736/961,478
  6. Step 6: Final answer
    x = 2,017,162.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.