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Finding the Third Proportional to 1,605,744 and 3,462,153

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Solution

The third proportional to 1,605,744 and 3,462,153 is: 7,464,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,744 : 3,462,153 = 3,462,153 : x
  2. Step 2: Convert to fraction form
    1,605,744/3,462,153 = 3,462,153/x
  3. Step 3: Cross multiply
    1,605,744x = 3,462,153 × 3,462,153
  4. Step 4: Simplify right side
    1,605,744x = 11,986,503,395,409
  5. Step 5: Solve for x
    x = 11,986,503,395,409/1,605,744
  6. Step 6: Final answer
    x = 7,464,766.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.