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Finding the Third Proportional to 437,612 and 967,078

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Solution

The third proportional to 437,612 and 967,078 is: 2,137,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,612 : 967,078 = 967,078 : x
  2. Step 2: Convert to fraction form
    437,612/967,078 = 967,078/x
  3. Step 3: Cross multiply
    437,612x = 967,078 × 967,078
  4. Step 4: Simplify right side
    437,612x = 935,239,858,084
  5. Step 5: Solve for x
    x = 935,239,858,084/437,612
  6. Step 6: Final answer
    x = 2,137,144.00

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.