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Finding the Third Proportional to 719,277 and 1,073,991

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Solution

The third proportional to 719,277 and 1,073,991 is: 1,603,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,277 : 1,073,991 = 1,073,991 : x
  2. Step 2: Convert to fraction form
    719,277/1,073,991 = 1,073,991/x
  3. Step 3: Cross multiply
    719,277x = 1,073,991 × 1,073,991
  4. Step 4: Simplify right side
    719,277x = 1,153,456,668,081
  5. Step 5: Solve for x
    x = 1,153,456,668,081/719,277
  6. Step 6: Final answer
    x = 1,603,633.47

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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.