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Finding the Third Proportional to 694,336 and 1,430,208

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Solution

The third proportional to 694,336 and 1,430,208 is: 2,945,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,336 : 1,430,208 = 1,430,208 : x
  2. Step 2: Convert to fraction form
    694,336/1,430,208 = 1,430,208/x
  3. Step 3: Cross multiply
    694,336x = 1,430,208 × 1,430,208
  4. Step 4: Simplify right side
    694,336x = 2,045,494,923,264
  5. Step 5: Solve for x
    x = 2,045,494,923,264/694,336
  6. Step 6: Final answer
    x = 2,945,972.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.