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Finding the Third Proportional to 2,609,784 and 3,675,096

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Solution

The third proportional to 2,609,784 and 3,675,096 is: 5,175,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,784 : 3,675,096 = 3,675,096 : x
  2. Step 2: Convert to fraction form
    2,609,784/3,675,096 = 3,675,096/x
  3. Step 3: Cross multiply
    2,609,784x = 3,675,096 × 3,675,096
  4. Step 4: Simplify right side
    2,609,784x = 13,506,330,609,216
  5. Step 5: Solve for x
    x = 13,506,330,609,216/2,609,784
  6. Step 6: Final answer
    x = 5,175,267.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.