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Finding the Third Proportional to 508,206 and 1,086,420

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Solution

The third proportional to 508,206 and 1,086,420 is: 2,322,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,206 : 1,086,420 = 1,086,420 : x
  2. Step 2: Convert to fraction form
    508,206/1,086,420 = 1,086,420/x
  3. Step 3: Cross multiply
    508,206x = 1,086,420 × 1,086,420
  4. Step 4: Simplify right side
    508,206x = 1,180,308,416,400
  5. Step 5: Solve for x
    x = 1,180,308,416,400/508,206
  6. Step 6: Final answer
    x = 2,322,499.96

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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.