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Finding the Third Proportional to 1,035,878 and 2,143,682

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Solution

The third proportional to 1,035,878 and 2,143,682 is: 4,436,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,878 : 2,143,682 = 2,143,682 : x
  2. Step 2: Convert to fraction form
    1,035,878/2,143,682 = 2,143,682/x
  3. Step 3: Cross multiply
    1,035,878x = 2,143,682 × 2,143,682
  4. Step 4: Simplify right side
    1,035,878x = 4,595,372,517,124
  5. Step 5: Solve for x
    x = 4,595,372,517,124/1,035,878
  6. Step 6: Final answer
    x = 4,436,210.17

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Why These Related Problems?

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