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Finding the Third Proportional to 974,814.75 and 2,213,902.13

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Solution

The third proportional to 974,814.75 and 2,213,902.13 is: 5,027,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,814.75 : 2,213,902.13 = 2,213,902.13 : x
  2. Step 2: Convert to fraction form
    974,814.75/2,213,902.13 = 2,213,902.13/x
  3. Step 3: Cross multiply
    974,814.75x = 2,213,902.13 × 2,213,902.13
  4. Step 4: Simplify right side
    974,814.75x = 4,901,362,619,079.52
  5. Step 5: Solve for x
    x = 4,901,362,619,079.52/974,814.75
  6. Step 6: Final answer
    x = 5,027,993.90

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.