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Finding the Third Proportional to 2,318,178.75 and 3,546,109.13

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Solution

The third proportional to 2,318,178.75 and 3,546,109.13 is: 5,424,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318,178.75 : 3,546,109.13 = 3,546,109.13 : x
  2. Step 2: Convert to fraction form
    2,318,178.75/3,546,109.13 = 3,546,109.13/x
  3. Step 3: Cross multiply
    2,318,178.75x = 3,546,109.13 × 3,546,109.13
  4. Step 4: Simplify right side
    2,318,178.75x = 12,574,889,926,408.27
  5. Step 5: Solve for x
    x = 12,574,889,926,408.27/2,318,178.75
  6. Step 6: Final answer
    x = 5,424,469.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.