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Finding the Third Proportional to 1,567,907.50 and 3,324,216.50

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Solution

The third proportional to 1,567,907.50 and 3,324,216.50 is: 7,047,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,907.50 : 3,324,216.50 = 3,324,216.50 : x
  2. Step 2: Convert to fraction form
    1,567,907.50/3,324,216.50 = 3,324,216.50/x
  3. Step 3: Cross multiply
    1,567,907.50x = 3,324,216.50 × 3,324,216.50
  4. Step 4: Simplify right side
    1,567,907.50x = 11,050,415,338,872.25
  5. Step 5: Solve for x
    x = 11,050,415,338,872.25/1,567,907.50
  6. Step 6: Final answer
    x = 7,047,874.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.