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Finding the Third Proportional to 967,572 and 1,451,723

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Solution

The third proportional to 967,572 and 1,451,723 is: 2,178,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,572 : 1,451,723 = 1,451,723 : x
  2. Step 2: Convert to fraction form
    967,572/1,451,723 = 1,451,723/x
  3. Step 3: Cross multiply
    967,572x = 1,451,723 × 1,451,723
  4. Step 4: Simplify right side
    967,572x = 2,107,499,668,729
  5. Step 5: Solve for x
    x = 2,107,499,668,729/967,572
  6. Step 6: Final answer
    x = 2,178,132.14

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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.