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Finding the Third Proportional to 1,538,693 and 3,562,098

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Solution

The third proportional to 1,538,693 and 3,562,098 is: 8,246,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,693 : 3,562,098 = 3,562,098 : x
  2. Step 2: Convert to fraction form
    1,538,693/3,562,098 = 3,562,098/x
  3. Step 3: Cross multiply
    1,538,693x = 3,562,098 × 3,562,098
  4. Step 4: Simplify right side
    1,538,693x = 12,688,542,161,604
  5. Step 5: Solve for x
    x = 12,688,542,161,604/1,538,693
  6. Step 6: Final answer
    x = 8,246,311.75

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.