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Finding the Third Proportional to 946,615.50 and 2,082,543.75

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Solution

The third proportional to 946,615.50 and 2,082,543.75 is: 4,581,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,615.50 : 2,082,543.75 = 2,082,543.75 : x
  2. Step 2: Convert to fraction form
    946,615.50/2,082,543.75 = 2,082,543.75/x
  3. Step 3: Cross multiply
    946,615.50x = 2,082,543.75 × 2,082,543.75
  4. Step 4: Simplify right side
    946,615.50x = 4,336,988,470,664.06
  5. Step 5: Solve for x
    x = 4,336,988,470,664.06/946,615.50
  6. Step 6: Final answer
    x = 4,581,573.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.