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Finding the Third Proportional to 774,357 and 1,173,192

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Solution

The third proportional to 774,357 and 1,173,192 is: 1,777,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,357 : 1,173,192 = 1,173,192 : x
  2. Step 2: Convert to fraction form
    774,357/1,173,192 = 1,173,192/x
  3. Step 3: Cross multiply
    774,357x = 1,173,192 × 1,173,192
  4. Step 4: Simplify right side
    774,357x = 1,376,379,468,864
  5. Step 5: Solve for x
    x = 1,376,379,468,864/774,357
  6. Step 6: Final answer
    x = 1,777,448.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.