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Finding the Third Proportional to 2,184,245.16 and 3,418,970.77

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Solution

The third proportional to 2,184,245.16 and 3,418,970.77 is: 5,351,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,245.16 : 3,418,970.77 = 3,418,970.77 : x
  2. Step 2: Convert to fraction form
    2,184,245.16/3,418,970.77 = 3,418,970.77/x
  3. Step 3: Cross multiply
    2,184,245.16x = 3,418,970.77 × 3,418,970.77
  4. Step 4: Simplify right side
    2,184,245.16x = 11,689,361,096,198.40
  5. Step 5: Solve for x
    x = 11,689,361,096,198.40/2,184,245.16
  6. Step 6: Final answer
    x = 5,351,670.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.