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Finding the Third Proportional to 536,937 and 1,168,677

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Solution

The third proportional to 536,937 and 1,168,677 is: 2,543,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,937 : 1,168,677 = 1,168,677 : x
  2. Step 2: Convert to fraction form
    536,937/1,168,677 = 1,168,677/x
  3. Step 3: Cross multiply
    536,937x = 1,168,677 × 1,168,677
  4. Step 4: Simplify right side
    536,937x = 1,365,805,930,329
  5. Step 5: Solve for x
    x = 1,365,805,930,329/536,937
  6. Step 6: Final answer
    x = 2,543,698.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.