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Finding the Third Proportional to 694,025 and 1,671,933

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Solution

The third proportional to 694,025 and 1,671,933 is: 4,027,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,025 : 1,671,933 = 1,671,933 : x
  2. Step 2: Convert to fraction form
    694,025/1,671,933 = 1,671,933/x
  3. Step 3: Cross multiply
    694,025x = 1,671,933 × 1,671,933
  4. Step 4: Simplify right side
    694,025x = 2,795,359,956,489
  5. Step 5: Solve for x
    x = 2,795,359,956,489/694,025
  6. Step 6: Final answer
    x = 4,027,751.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.