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Finding the Third Proportional to 679,124 and 919,036

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Solution

The third proportional to 679,124 and 919,036 is: 1,243,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,124 : 919,036 = 919,036 : x
  2. Step 2: Convert to fraction form
    679,124/919,036 = 919,036/x
  3. Step 3: Cross multiply
    679,124x = 919,036 × 919,036
  4. Step 4: Simplify right side
    679,124x = 844,627,169,296
  5. Step 5: Solve for x
    x = 844,627,169,296/679,124
  6. Step 6: Final answer
    x = 1,243,700.96

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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.