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Finding the Third Proportional to 536,624 and 1,107,808

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Solution

The third proportional to 536,624 and 1,107,808 is: 2,286,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,624 : 1,107,808 = 1,107,808 : x
  2. Step 2: Convert to fraction form
    536,624/1,107,808 = 1,107,808/x
  3. Step 3: Cross multiply
    536,624x = 1,107,808 × 1,107,808
  4. Step 4: Simplify right side
    536,624x = 1,227,238,564,864
  5. Step 5: Solve for x
    x = 1,227,238,564,864/536,624
  6. Step 6: Final answer
    x = 2,286,961.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.