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Finding the Third Proportional to 771,836 and 1,192,758

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Solution

The third proportional to 771,836 and 1,192,758 is: 1,843,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,836 : 1,192,758 = 1,192,758 : x
  2. Step 2: Convert to fraction form
    771,836/1,192,758 = 1,192,758/x
  3. Step 3: Cross multiply
    771,836x = 1,192,758 × 1,192,758
  4. Step 4: Simplify right side
    771,836x = 1,422,671,646,564
  5. Step 5: Solve for x
    x = 1,422,671,646,564/771,836
  6. Step 6: Final answer
    x = 1,843,230.49

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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.