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Finding the Third Proportional to 769,814 and 1,108,890

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Solution

The third proportional to 769,814 and 1,108,890 is: 1,597,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,814 : 1,108,890 = 1,108,890 : x
  2. Step 2: Convert to fraction form
    769,814/1,108,890 = 1,108,890/x
  3. Step 3: Cross multiply
    769,814x = 1,108,890 × 1,108,890
  4. Step 4: Simplify right side
    769,814x = 1,229,637,032,100
  5. Step 5: Solve for x
    x = 1,229,637,032,100/769,814
  6. Step 6: Final answer
    x = 1,597,317.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.