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Finding the Third Proportional to 986,949 and 2,051,433

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Solution

The third proportional to 986,949 and 2,051,433 is: 4,264,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,949 : 2,051,433 = 2,051,433 : x
  2. Step 2: Convert to fraction form
    986,949/2,051,433 = 2,051,433/x
  3. Step 3: Cross multiply
    986,949x = 2,051,433 × 2,051,433
  4. Step 4: Simplify right side
    986,949x = 4,208,377,353,489
  5. Step 5: Solve for x
    x = 4,208,377,353,489/986,949
  6. Step 6: Final answer
    x = 4,264,027.17

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Why These Related Problems?

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