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Finding the Third Proportional to 2,184,316 and 3,419,047

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Solution

The third proportional to 2,184,316 and 3,419,047 is: 5,351,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,316 : 3,419,047 = 3,419,047 : x
  2. Step 2: Convert to fraction form
    2,184,316/3,419,047 = 3,419,047/x
  3. Step 3: Cross multiply
    2,184,316x = 3,419,047 × 3,419,047
  4. Step 4: Simplify right side
    2,184,316x = 11,689,882,388,209
  5. Step 5: Solve for x
    x = 11,689,882,388,209/2,184,316
  6. Step 6: Final answer
    x = 5,351,735.92

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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.