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Finding the Third Proportional to 779,344 and 1,619,916

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Solution

The third proportional to 779,344 and 1,619,916 is: 3,367,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,344 : 1,619,916 = 1,619,916 : x
  2. Step 2: Convert to fraction form
    779,344/1,619,916 = 1,619,916/x
  3. Step 3: Cross multiply
    779,344x = 1,619,916 × 1,619,916
  4. Step 4: Simplify right side
    779,344x = 2,624,127,847,056
  5. Step 5: Solve for x
    x = 2,624,127,847,056/779,344
  6. Step 6: Final answer
    x = 3,367,098.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.