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Finding the Third Proportional to 445,920 and 961,500

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Solution

The third proportional to 445,920 and 961,500 is: 2,073,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,920 : 961,500 = 961,500 : x
  2. Step 2: Convert to fraction form
    445,920/961,500 = 961,500/x
  3. Step 3: Cross multiply
    445,920x = 961,500 × 961,500
  4. Step 4: Simplify right side
    445,920x = 924,482,250,000
  5. Step 5: Solve for x
    x = 924,482,250,000/445,920
  6. Step 6: Final answer
    x = 2,073,202.03

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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.