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Finding the Third Proportional to 3,642,744 and 5,346,096

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Solution

The third proportional to 3,642,744 and 5,346,096 is: 7,845,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642,744 : 5,346,096 = 5,346,096 : x
  2. Step 2: Convert to fraction form
    3,642,744/5,346,096 = 5,346,096/x
  3. Step 3: Cross multiply
    3,642,744x = 5,346,096 × 5,346,096
  4. Step 4: Simplify right side
    3,642,744x = 28,580,742,441,216
  5. Step 5: Solve for x
    x = 28,580,742,441,216/3,642,744
  6. Step 6: Final answer
    x = 7,845,937.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.