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Finding the Third Proportional to 2,219,286.56 and 4,775,643.94

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Solution

The third proportional to 2,219,286.56 and 4,775,643.94 is: 10,276,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,286.56 : 4,775,643.94 = 4,775,643.94 : x
  2. Step 2: Convert to fraction form
    2,219,286.56/4,775,643.94 = 4,775,643.94/x
  3. Step 3: Cross multiply
    2,219,286.56x = 4,775,643.94 × 4,775,643.94
  4. Step 4: Simplify right side
    2,219,286.56x = 22,806,775,017,780.50
  5. Step 5: Solve for x
    x = 22,806,775,017,780.50/2,219,286.56
  6. Step 6: Final answer
    x = 10,276,624.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.