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Finding the Third Proportional to 493,974 and 1,026,711

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Solution

The third proportional to 493,974 and 1,026,711 is: 2,133,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,974 : 1,026,711 = 1,026,711 : x
  2. Step 2: Convert to fraction form
    493,974/1,026,711 = 1,026,711/x
  3. Step 3: Cross multiply
    493,974x = 1,026,711 × 1,026,711
  4. Step 4: Simplify right side
    493,974x = 1,054,135,477,521
  5. Step 5: Solve for x
    x = 1,054,135,477,521/493,974
  6. Step 6: Final answer
    x = 2,133,989.80

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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.