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Finding the Third Proportional to 800,550 and 1,217,322

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Solution

The third proportional to 800,550 and 1,217,322 is: 1,851,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,550 : 1,217,322 = 1,217,322 : x
  2. Step 2: Convert to fraction form
    800,550/1,217,322 = 1,217,322/x
  3. Step 3: Cross multiply
    800,550x = 1,217,322 × 1,217,322
  4. Step 4: Simplify right side
    800,550x = 1,481,872,851,684
  5. Step 5: Solve for x
    x = 1,481,872,851,684/800,550
  6. Step 6: Final answer
    x = 1,851,068.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.