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Finding the Third Proportional to 2,219,989.50 and 3,321,074.25

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Solution

The third proportional to 2,219,989.50 and 3,321,074.25 is: 4,968,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,989.50 : 3,321,074.25 = 3,321,074.25 : x
  2. Step 2: Convert to fraction form
    2,219,989.50/3,321,074.25 = 3,321,074.25/x
  3. Step 3: Cross multiply
    2,219,989.50x = 3,321,074.25 × 3,321,074.25
  4. Step 4: Simplify right side
    2,219,989.50x = 11,029,534,174,013.06
  5. Step 5: Solve for x
    x = 11,029,534,174,013.06/2,219,989.50
  6. Step 6: Final answer
    x = 4,968,282.14

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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.