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Finding the Third Proportional to 2,199,187.97 and 3,405,193.17

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Solution

The third proportional to 2,199,187.97 and 3,405,193.17 is: 5,272,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,187.97 : 3,405,193.17 = 3,405,193.17 : x
  2. Step 2: Convert to fraction form
    2,199,187.97/3,405,193.17 = 3,405,193.17/x
  3. Step 3: Cross multiply
    2,199,187.97x = 3,405,193.17 × 3,405,193.17
  4. Step 4: Simplify right side
    2,199,187.97x = 11,595,340,537,784.12
  5. Step 5: Solve for x
    x = 11,595,340,537,784.12/2,199,187.97
  6. Step 6: Final answer
    x = 5,272,555.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.