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Finding the Third Proportional to 543,859 and 1,166,450

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Solution

The third proportional to 543,859 and 1,166,450 is: 2,501,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,859 : 1,166,450 = 1,166,450 : x
  2. Step 2: Convert to fraction form
    543,859/1,166,450 = 1,166,450/x
  3. Step 3: Cross multiply
    543,859x = 1,166,450 × 1,166,450
  4. Step 4: Simplify right side
    543,859x = 1,360,605,602,500
  5. Step 5: Solve for x
    x = 1,360,605,602,500/543,859
  6. Step 6: Final answer
    x = 2,501,761.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.