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Finding the Third Proportional to 4,282,756 and 6,460,422

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Solution

The third proportional to 4,282,756 and 6,460,422 is: 9,745,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,756 : 6,460,422 = 6,460,422 : x
  2. Step 2: Convert to fraction form
    4,282,756/6,460,422 = 6,460,422/x
  3. Step 3: Cross multiply
    4,282,756x = 6,460,422 × 6,460,422
  4. Step 4: Simplify right side
    4,282,756x = 41,737,052,418,084
  5. Step 5: Solve for x
    x = 41,737,052,418,084/4,282,756
  6. Step 6: Final answer
    x = 9,745,372.47

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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.