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Finding the Third Proportional to 679,190 and 994,719

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Solution

The third proportional to 679,190 and 994,719 is: 1,456,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,190 : 994,719 = 994,719 : x
  2. Step 2: Convert to fraction form
    679,190/994,719 = 994,719/x
  3. Step 3: Cross multiply
    679,190x = 994,719 × 994,719
  4. Step 4: Simplify right side
    679,190x = 989,465,888,961
  5. Step 5: Solve for x
    x = 989,465,888,961/679,190
  6. Step 6: Final answer
    x = 1,456,832.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.