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Finding the Third Proportional to 679,131 and 919,047

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Solution

The third proportional to 679,131 and 919,047 is: 1,243,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,131 : 919,047 = 919,047 : x
  2. Step 2: Convert to fraction form
    679,131/919,047 = 919,047/x
  3. Step 3: Cross multiply
    679,131x = 919,047 × 919,047
  4. Step 4: Simplify right side
    679,131x = 844,647,388,209
  5. Step 5: Solve for x
    x = 844,647,388,209/679,131
  6. Step 6: Final answer
    x = 1,243,717.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.