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Finding the Third Proportional to 762,266 and 1,120,563

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Solution

The third proportional to 762,266 and 1,120,563 is: 1,647,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,266 : 1,120,563 = 1,120,563 : x
  2. Step 2: Convert to fraction form
    762,266/1,120,563 = 1,120,563/x
  3. Step 3: Cross multiply
    762,266x = 1,120,563 × 1,120,563
  4. Step 4: Simplify right side
    762,266x = 1,255,661,436,969
  5. Step 5: Solve for x
    x = 1,255,661,436,969/762,266
  6. Step 6: Final answer
    x = 1,647,274.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.