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Finding the Third Proportional to 993,532.50 and 2,211,900

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Solution

The third proportional to 993,532.50 and 2,211,900 is: 4,924,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,532.50 : 2,211,900 = 2,211,900 : x
  2. Step 2: Convert to fraction form
    993,532.50/2,211,900 = 2,211,900/x
  3. Step 3: Cross multiply
    993,532.50x = 2,211,900 × 2,211,900
  4. Step 4: Simplify right side
    993,532.50x = 4,892,501,610,000
  5. Step 5: Solve for x
    x = 4,892,501,610,000/993,532.50
  6. Step 6: Final answer
    x = 4,924,349.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.