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Finding the Third Proportional to 3,194,143.88 and 4,786,295.06

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Solution

The third proportional to 3,194,143.88 and 4,786,295.06 is: 7,172,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,143.88 : 4,786,295.06 = 4,786,295.06 : x
  2. Step 2: Convert to fraction form
    3,194,143.88/4,786,295.06 = 4,786,295.06/x
  3. Step 3: Cross multiply
    3,194,143.88x = 4,786,295.06 × 4,786,295.06
  4. Step 4: Simplify right side
    3,194,143.88x = 22,908,620,425,311.88
  5. Step 5: Solve for x
    x = 22,908,620,425,311.88/3,194,143.88
  6. Step 6: Final answer
    x = 7,172,069.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.