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Finding the Third Proportional to 1,356,195 and 2,901,141

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Solution

The third proportional to 1,356,195 and 2,901,141 is: 6,206,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,195 : 2,901,141 = 2,901,141 : x
  2. Step 2: Convert to fraction form
    1,356,195/2,901,141 = 2,901,141/x
  3. Step 3: Cross multiply
    1,356,195x = 2,901,141 × 2,901,141
  4. Step 4: Simplify right side
    1,356,195x = 8,416,619,101,881
  5. Step 5: Solve for x
    x = 8,416,619,101,881/1,356,195
  6. Step 6: Final answer
    x = 6,206,053.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.