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Finding the Third Proportional to 697,868 and 1,511,668

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Solution

The third proportional to 697,868 and 1,511,668 is: 3,274,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,868 : 1,511,668 = 1,511,668 : x
  2. Step 2: Convert to fraction form
    697,868/1,511,668 = 1,511,668/x
  3. Step 3: Cross multiply
    697,868x = 1,511,668 × 1,511,668
  4. Step 4: Simplify right side
    697,868x = 2,285,140,142,224
  5. Step 5: Solve for x
    x = 2,285,140,142,224/697,868
  6. Step 6: Final answer
    x = 3,274,458.98

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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.