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Finding the Third Proportional to 679,772 and 1,493,752

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Solution

The third proportional to 679,772 and 1,493,752 is: 3,282,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,772 : 1,493,752 = 1,493,752 : x
  2. Step 2: Convert to fraction form
    679,772/1,493,752 = 1,493,752/x
  3. Step 3: Cross multiply
    679,772x = 1,493,752 × 1,493,752
  4. Step 4: Simplify right side
    679,772x = 2,231,295,037,504
  5. Step 5: Solve for x
    x = 2,231,295,037,504/679,772
  6. Step 6: Final answer
    x = 3,282,416.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.