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Finding the Third Proportional to 772,512 and 1,193,754

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Solution

The third proportional to 772,512 and 1,193,754 is: 1,844,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,512 : 1,193,754 = 1,193,754 : x
  2. Step 2: Convert to fraction form
    772,512/1,193,754 = 1,193,754/x
  3. Step 3: Cross multiply
    772,512x = 1,193,754 × 1,193,754
  4. Step 4: Simplify right side
    772,512x = 1,425,048,612,516
  5. Step 5: Solve for x
    x = 1,425,048,612,516/772,512
  6. Step 6: Final answer
    x = 1,844,694.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.