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Finding the Third Proportional to 1,164,097.50 and 1,738,977

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Solution

The third proportional to 1,164,097.50 and 1,738,977 is: 2,597,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,097.50 : 1,738,977 = 1,738,977 : x
  2. Step 2: Convert to fraction form
    1,164,097.50/1,738,977 = 1,738,977/x
  3. Step 3: Cross multiply
    1,164,097.50x = 1,738,977 × 1,738,977
  4. Step 4: Simplify right side
    1,164,097.50x = 3,024,041,006,529
  5. Step 5: Solve for x
    x = 3,024,041,006,529/1,164,097.50
  6. Step 6: Final answer
    x = 2,597,755.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.