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Finding the Third Proportional to 2,462,134 and 3,782,140

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Solution

The third proportional to 2,462,134 and 3,782,140 is: 5,809,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,134 : 3,782,140 = 3,782,140 : x
  2. Step 2: Convert to fraction form
    2,462,134/3,782,140 = 3,782,140/x
  3. Step 3: Cross multiply
    2,462,134x = 3,782,140 × 3,782,140
  4. Step 4: Simplify right side
    2,462,134x = 14,304,582,979,600
  5. Step 5: Solve for x
    x = 14,304,582,979,600/2,462,134
  6. Step 6: Final answer
    x = 5,809,831.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.