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Finding the Third Proportional to 528,864 and 1,162,704

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Solution

The third proportional to 528,864 and 1,162,704 is: 2,556,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,864 : 1,162,704 = 1,162,704 : x
  2. Step 2: Convert to fraction form
    528,864/1,162,704 = 1,162,704/x
  3. Step 3: Cross multiply
    528,864x = 1,162,704 × 1,162,704
  4. Step 4: Simplify right side
    528,864x = 1,351,880,591,616
  5. Step 5: Solve for x
    x = 1,351,880,591,616/528,864
  6. Step 6: Final answer
    x = 2,556,197.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.