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Finding the Third Proportional to 1,835,170 and 4,318,297

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Solution

The third proportional to 1,835,170 and 4,318,297 is: 10,161,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,170 : 4,318,297 = 4,318,297 : x
  2. Step 2: Convert to fraction form
    1,835,170/4,318,297 = 4,318,297/x
  3. Step 3: Cross multiply
    1,835,170x = 4,318,297 × 4,318,297
  4. Step 4: Simplify right side
    1,835,170x = 18,647,688,980,209
  5. Step 5: Solve for x
    x = 18,647,688,980,209/1,835,170
  6. Step 6: Final answer
    x = 10,161,286.95

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.