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Finding the Third Proportional to 508,412 and 1,086,616

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Solution

The third proportional to 508,412 and 1,086,616 is: 2,322,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,412 : 1,086,616 = 1,086,616 : x
  2. Step 2: Convert to fraction form
    508,412/1,086,616 = 1,086,616/x
  3. Step 3: Cross multiply
    508,412x = 1,086,616 × 1,086,616
  4. Step 4: Simplify right side
    508,412x = 1,180,734,331,456
  5. Step 5: Solve for x
    x = 1,180,734,331,456/508,412
  6. Step 6: Final answer
    x = 2,322,396.66

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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.