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Finding the Third Proportional to 697,191 and 1,478,096

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Solution

The third proportional to 697,191 and 1,478,096 is: 3,133,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,191 : 1,478,096 = 1,478,096 : x
  2. Step 2: Convert to fraction form
    697,191/1,478,096 = 1,478,096/x
  3. Step 3: Cross multiply
    697,191x = 1,478,096 × 1,478,096
  4. Step 4: Simplify right side
    697,191x = 2,184,767,785,216
  5. Step 5: Solve for x
    x = 2,184,767,785,216/697,191
  6. Step 6: Final answer
    x = 3,133,671.81

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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.