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Finding the Third Proportional to 3,506,530.50 and 5,245,686.56

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Solution

The third proportional to 3,506,530.50 and 5,245,686.56 is: 7,847,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506,530.50 : 5,245,686.56 = 5,245,686.56 : x
  2. Step 2: Convert to fraction form
    3,506,530.50/5,245,686.56 = 5,245,686.56/x
  3. Step 3: Cross multiply
    3,506,530.50x = 5,245,686.56 × 5,245,686.56
  4. Step 4: Simplify right side
    3,506,530.50x = 27,517,227,511,993.07
  5. Step 5: Solve for x
    x = 27,517,227,511,993.07/3,506,530.50
  6. Step 6: Final answer
    x = 7,847,422.83

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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.