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Finding the Third Proportional to 2,277,431 and 3,439,671

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Solution

The third proportional to 2,277,431 and 3,439,671 is: 5,195,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,431 : 3,439,671 = 3,439,671 : x
  2. Step 2: Convert to fraction form
    2,277,431/3,439,671 = 3,439,671/x
  3. Step 3: Cross multiply
    2,277,431x = 3,439,671 × 3,439,671
  4. Step 4: Simplify right side
    2,277,431x = 11,831,336,588,241
  5. Step 5: Solve for x
    x = 11,831,336,588,241/2,277,431
  6. Step 6: Final answer
    x = 5,195,036.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.