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Finding the Third Proportional to 699,919 and 1,446,493

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Solution

The third proportional to 699,919 and 1,446,493 is: 2,989,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,919 : 1,446,493 = 1,446,493 : x
  2. Step 2: Convert to fraction form
    699,919/1,446,493 = 1,446,493/x
  3. Step 3: Cross multiply
    699,919x = 1,446,493 × 1,446,493
  4. Step 4: Simplify right side
    699,919x = 2,092,341,999,049
  5. Step 5: Solve for x
    x = 2,092,341,999,049/699,919
  6. Step 6: Final answer
    x = 2,989,405.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.