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Finding the Third Proportional to 536,544 and 1,107,648

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Solution

The third proportional to 536,544 and 1,107,648 is: 2,286,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,544 : 1,107,648 = 1,107,648 : x
  2. Step 2: Convert to fraction form
    536,544/1,107,648 = 1,107,648/x
  3. Step 3: Cross multiply
    536,544x = 1,107,648 × 1,107,648
  4. Step 4: Simplify right side
    536,544x = 1,226,884,091,904
  5. Step 5: Solve for x
    x = 1,226,884,091,904/536,544
  6. Step 6: Final answer
    x = 2,286,642.09

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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.