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Finding the Third Proportional to 722,682 and 1,526,760

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Solution

The third proportional to 722,682 and 1,526,760 is: 3,225,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,682 : 1,526,760 = 1,526,760 : x
  2. Step 2: Convert to fraction form
    722,682/1,526,760 = 1,526,760/x
  3. Step 3: Cross multiply
    722,682x = 1,526,760 × 1,526,760
  4. Step 4: Simplify right side
    722,682x = 2,330,996,097,600
  5. Step 5: Solve for x
    x = 2,330,996,097,600/722,682
  6. Step 6: Final answer
    x = 3,225,479.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.