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Finding the Third Proportional to 779,424 and 1,169,244

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Solution

The third proportional to 779,424 and 1,169,244 is: 1,754,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,424 : 1,169,244 = 1,169,244 : x
  2. Step 2: Convert to fraction form
    779,424/1,169,244 = 1,169,244/x
  3. Step 3: Cross multiply
    779,424x = 1,169,244 × 1,169,244
  4. Step 4: Simplify right side
    779,424x = 1,367,131,531,536
  5. Step 5: Solve for x
    x = 1,367,131,531,536/779,424
  6. Step 6: Final answer
    x = 1,754,028.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.