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Finding the Third Proportional to 1,706,344 and 3,734,096

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Solution

The third proportional to 1,706,344 and 3,734,096 is: 8,171,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,344 : 3,734,096 = 3,734,096 : x
  2. Step 2: Convert to fraction form
    1,706,344/3,734,096 = 3,734,096/x
  3. Step 3: Cross multiply
    1,706,344x = 3,734,096 × 3,734,096
  4. Step 4: Simplify right side
    1,706,344x = 13,943,472,937,216
  5. Step 5: Solve for x
    x = 13,943,472,937,216/1,706,344
  6. Step 6: Final answer
    x = 8,171,548.61

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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.