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Finding the Third Proportional to 1,384,998 and 2,071,977

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Solution

The third proportional to 1,384,998 and 2,071,977 is: 3,099,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,998 : 2,071,977 = 2,071,977 : x
  2. Step 2: Convert to fraction form
    1,384,998/2,071,977 = 2,071,977/x
  3. Step 3: Cross multiply
    1,384,998x = 2,071,977 × 2,071,977
  4. Step 4: Simplify right side
    1,384,998x = 4,293,088,688,529
  5. Step 5: Solve for x
    x = 4,293,088,688,529/1,384,998
  6. Step 6: Final answer
    x = 3,099,707.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.