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Finding the Third Proportional to 967,690 and 1,504,527

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Solution

The third proportional to 967,690 and 1,504,527 is: 2,339,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,690 : 1,504,527 = 1,504,527 : x
  2. Step 2: Convert to fraction form
    967,690/1,504,527 = 1,504,527/x
  3. Step 3: Cross multiply
    967,690x = 1,504,527 × 1,504,527
  4. Step 4: Simplify right side
    967,690x = 2,263,601,493,729
  5. Step 5: Solve for x
    x = 2,263,601,493,729/967,690
  6. Step 6: Final answer
    x = 2,339,180.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.