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Finding the Third Proportional to 772,930 and 1,226,571

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Solution

The third proportional to 772,930 and 1,226,571 is: 1,946,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,930 : 1,226,571 = 1,226,571 : x
  2. Step 2: Convert to fraction form
    772,930/1,226,571 = 1,226,571/x
  3. Step 3: Cross multiply
    772,930x = 1,226,571 × 1,226,571
  4. Step 4: Simplify right side
    772,930x = 1,504,476,418,041
  5. Step 5: Solve for x
    x = 1,504,476,418,041/772,930
  6. Step 6: Final answer
    x = 1,946,458.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.