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Finding the Third Proportional to 4,212,471 and 6,019,438.50

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Solution

The third proportional to 4,212,471 and 6,019,438.50 is: 8,601,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,471 : 6,019,438.50 = 6,019,438.50 : x
  2. Step 2: Convert to fraction form
    4,212,471/6,019,438.50 = 6,019,438.50/x
  3. Step 3: Cross multiply
    4,212,471x = 6,019,438.50 × 6,019,438.50
  4. Step 4: Simplify right side
    4,212,471x = 36,233,639,855,282.25
  5. Step 5: Solve for x
    x = 36,233,639,855,282.25/4,212,471
  6. Step 6: Final answer
    x = 8,601,516.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.