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Finding the Third Proportional to 565,568 and 1,217,824

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Solution

The third proportional to 565,568 and 1,217,824 is: 2,622,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,568 : 1,217,824 = 1,217,824 : x
  2. Step 2: Convert to fraction form
    565,568/1,217,824 = 1,217,824/x
  3. Step 3: Cross multiply
    565,568x = 1,217,824 × 1,217,824
  4. Step 4: Simplify right side
    565,568x = 1,483,095,294,976
  5. Step 5: Solve for x
    x = 1,483,095,294,976/565,568
  6. Step 6: Final answer
    x = 2,622,311.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.