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Finding the Third Proportional to 967,569 and 1,451,718

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Solution

The third proportional to 967,569 and 1,451,718 is: 2,178,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,569 : 1,451,718 = 1,451,718 : x
  2. Step 2: Convert to fraction form
    967,569/1,451,718 = 1,451,718/x
  3. Step 3: Cross multiply
    967,569x = 1,451,718 × 1,451,718
  4. Step 4: Simplify right side
    967,569x = 2,107,485,151,524
  5. Step 5: Solve for x
    x = 2,107,485,151,524/967,569
  6. Step 6: Final answer
    x = 2,178,123.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.