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Finding the Third Proportional to 1,035,864 and 2,143,656

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Solution

The third proportional to 1,035,864 and 2,143,656 is: 4,436,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,864 : 2,143,656 = 2,143,656 : x
  2. Step 2: Convert to fraction form
    1,035,864/2,143,656 = 2,143,656/x
  3. Step 3: Cross multiply
    1,035,864x = 2,143,656 × 2,143,656
  4. Step 4: Simplify right side
    1,035,864x = 4,595,261,046,336
  5. Step 5: Solve for x
    x = 4,595,261,046,336/1,035,864
  6. Step 6: Final answer
    x = 4,436,162.51

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.