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Finding the Third Proportional to 2,035,694 and 4,238,905

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Solution

The third proportional to 2,035,694 and 4,238,905 is: 8,826,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035,694 : 4,238,905 = 4,238,905 : x
  2. Step 2: Convert to fraction form
    2,035,694/4,238,905 = 4,238,905/x
  3. Step 3: Cross multiply
    2,035,694x = 4,238,905 × 4,238,905
  4. Step 4: Simplify right side
    2,035,694x = 17,968,315,599,025
  5. Step 5: Solve for x
    x = 17,968,315,599,025/2,035,694
  6. Step 6: Final answer
    x = 8,826,628.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.