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Finding the Third Proportional to 768,484 and 1,669,860

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Solution

The third proportional to 768,484 and 1,669,860 is: 3,628,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,484 : 1,669,860 = 1,669,860 : x
  2. Step 2: Convert to fraction form
    768,484/1,669,860 = 1,669,860/x
  3. Step 3: Cross multiply
    768,484x = 1,669,860 × 1,669,860
  4. Step 4: Simplify right side
    768,484x = 2,788,432,419,600
  5. Step 5: Solve for x
    x = 2,788,432,419,600/768,484
  6. Step 6: Final answer
    x = 3,628,484.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.