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Finding the Third Proportional to 771,768 and 1,192,644

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Solution

The third proportional to 771,768 and 1,192,644 is: 1,843,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,768 : 1,192,644 = 1,192,644 : x
  2. Step 2: Convert to fraction form
    771,768/1,192,644 = 1,192,644/x
  3. Step 3: Cross multiply
    771,768x = 1,192,644 × 1,192,644
  4. Step 4: Simplify right side
    771,768x = 1,422,399,710,736
  5. Step 5: Solve for x
    x = 1,422,399,710,736/771,768
  6. Step 6: Final answer
    x = 1,843,040.54

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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.