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Finding the Third Proportional to 442,378.13 and 967,546.69

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Solution

The third proportional to 442,378.13 and 967,546.69 is: 2,116,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,378.13 : 967,546.69 = 967,546.69 : x
  2. Step 2: Convert to fraction form
    442,378.13/967,546.69 = 967,546.69/x
  3. Step 3: Cross multiply
    442,378.13x = 967,546.69 × 967,546.69
  4. Step 4: Simplify right side
    442,378.13x = 936,146,592,492.22
  5. Step 5: Solve for x
    x = 936,146,592,492.22/442,378.13
  6. Step 6: Final answer
    x = 2,116,168.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.