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Finding the Third Proportional to 722,684 and 1,526,764

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Solution

The third proportional to 722,684 and 1,526,764 is: 3,225,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,684 : 1,526,764 = 1,526,764 : x
  2. Step 2: Convert to fraction form
    722,684/1,526,764 = 1,526,764/x
  3. Step 3: Cross multiply
    722,684x = 1,526,764 × 1,526,764
  4. Step 4: Simplify right side
    722,684x = 2,331,008,311,696
  5. Step 5: Solve for x
    x = 2,331,008,311,696/722,684
  6. Step 6: Final answer
    x = 3,225,487.64

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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.