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Finding the Third Proportional to 997,224.75 and 1,411,183.69

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Solution

The third proportional to 997,224.75 and 1,411,183.69 is: 1,996,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,224.75 : 1,411,183.69 = 1,411,183.69 : x
  2. Step 2: Convert to fraction form
    997,224.75/1,411,183.69 = 1,411,183.69/x
  3. Step 3: Cross multiply
    997,224.75x = 1,411,183.69 × 1,411,183.69
  4. Step 4: Simplify right side
    997,224.75x = 1,991,439,399,866.10
  5. Step 5: Solve for x
    x = 1,991,439,399,866.10/997,224.75
  6. Step 6: Final answer
    x = 1,996,981.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.