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Finding the Third Proportional to 683,860 and 1,493,594

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Solution

The third proportional to 683,860 and 1,493,594 is: 3,262,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,860 : 1,493,594 = 1,493,594 : x
  2. Step 2: Convert to fraction form
    683,860/1,493,594 = 1,493,594/x
  3. Step 3: Cross multiply
    683,860x = 1,493,594 × 1,493,594
  4. Step 4: Simplify right side
    683,860x = 2,230,823,036,836
  5. Step 5: Solve for x
    x = 2,230,823,036,836/683,860
  6. Step 6: Final answer
    x = 3,262,104.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.