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Finding the Third Proportional to 696,610.50 and 1,422,738

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Solution

The third proportional to 696,610.50 and 1,422,738 is: 2,905,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,610.50 : 1,422,738 = 1,422,738 : x
  2. Step 2: Convert to fraction form
    696,610.50/1,422,738 = 1,422,738/x
  3. Step 3: Cross multiply
    696,610.50x = 1,422,738 × 1,422,738
  4. Step 4: Simplify right side
    696,610.50x = 2,024,183,416,644
  5. Step 5: Solve for x
    x = 2,024,183,416,644/696,610.50
  6. Step 6: Final answer
    x = 2,905,760.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.