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Finding the Third Proportional to 697,195 and 1,478,104

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Solution

The third proportional to 697,195 and 1,478,104 is: 3,133,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,195 : 1,478,104 = 1,478,104 : x
  2. Step 2: Convert to fraction form
    697,195/1,478,104 = 1,478,104/x
  3. Step 3: Cross multiply
    697,195x = 1,478,104 × 1,478,104
  4. Step 4: Simplify right side
    697,195x = 2,184,791,434,816
  5. Step 5: Solve for x
    x = 2,184,791,434,816/697,195
  6. Step 6: Final answer
    x = 3,133,687.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.