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Finding the Third Proportional to 697,193 and 1,478,100

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Solution

The third proportional to 697,193 and 1,478,100 is: 3,133,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,193 : 1,478,100 = 1,478,100 : x
  2. Step 2: Convert to fraction form
    697,193/1,478,100 = 1,478,100/x
  3. Step 3: Cross multiply
    697,193x = 1,478,100 × 1,478,100
  4. Step 4: Simplify right side
    697,193x = 2,184,779,610,000
  5. Step 5: Solve for x
    x = 2,184,779,610,000/697,193
  6. Step 6: Final answer
    x = 3,133,679.78

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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.