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Finding the Third Proportional to 1,454,857 and 3,184,911

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Solution

The third proportional to 1,454,857 and 3,184,911 is: 6,972,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,857 : 3,184,911 = 3,184,911 : x
  2. Step 2: Convert to fraction form
    1,454,857/3,184,911 = 3,184,911/x
  3. Step 3: Cross multiply
    1,454,857x = 3,184,911 × 3,184,911
  4. Step 4: Simplify right side
    1,454,857x = 10,143,658,077,921
  5. Step 5: Solve for x
    x = 10,143,658,077,921/1,454,857
  6. Step 6: Final answer
    x = 6,972,271.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.