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Finding the Third Proportional to 916,809.75 and 2,004,000.75

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Solution

The third proportional to 916,809.75 and 2,004,000.75 is: 4,380,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,809.75 : 2,004,000.75 = 2,004,000.75 : x
  2. Step 2: Convert to fraction form
    916,809.75/2,004,000.75 = 2,004,000.75/x
  3. Step 3: Cross multiply
    916,809.75x = 2,004,000.75 × 2,004,000.75
  4. Step 4: Simplify right side
    916,809.75x = 4,016,019,006,000.56
  5. Step 5: Solve for x
    x = 4,016,019,006,000.56/916,809.75
  6. Step 6: Final answer
    x = 4,380,427.90

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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.