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Finding the Third Proportional to 1,367,670.50 and 3,165,912.50

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Solution

The third proportional to 1,367,670.50 and 3,165,912.50 is: 7,328,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,670.50 : 3,165,912.50 = 3,165,912.50 : x
  2. Step 2: Convert to fraction form
    1,367,670.50/3,165,912.50 = 3,165,912.50/x
  3. Step 3: Cross multiply
    1,367,670.50x = 3,165,912.50 × 3,165,912.50
  4. Step 4: Simplify right side
    1,367,670.50x = 10,023,001,957,656.25
  5. Step 5: Solve for x
    x = 10,023,001,957,656.25/1,367,670.50
  6. Step 6: Final answer
    x = 7,328,520.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.