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Finding the Third Proportional to 787,950 and 1,153,977

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Solution

The third proportional to 787,950 and 1,153,977 is: 1,690,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,950 : 1,153,977 = 1,153,977 : x
  2. Step 2: Convert to fraction form
    787,950/1,153,977 = 1,153,977/x
  3. Step 3: Cross multiply
    787,950x = 1,153,977 × 1,153,977
  4. Step 4: Simplify right side
    787,950x = 1,331,662,916,529
  5. Step 5: Solve for x
    x = 1,331,662,916,529/787,950
  6. Step 6: Final answer
    x = 1,690,034.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.