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Finding the Third Proportional to 1,684,744 and 3,977,108

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Solution

The third proportional to 1,684,744 and 3,977,108 is: 9,388,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,744 : 3,977,108 = 3,977,108 : x
  2. Step 2: Convert to fraction form
    1,684,744/3,977,108 = 3,977,108/x
  3. Step 3: Cross multiply
    1,684,744x = 3,977,108 × 3,977,108
  4. Step 4: Simplify right side
    1,684,744x = 15,817,388,043,664
  5. Step 5: Solve for x
    x = 15,817,388,043,664/1,684,744
  6. Step 6: Final answer
    x = 9,388,600.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.