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Finding the Third Proportional to 679,072 and 1,439,092

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Solution

The third proportional to 679,072 and 1,439,092 is: 3,049,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,072 : 1,439,092 = 1,439,092 : x
  2. Step 2: Convert to fraction form
    679,072/1,439,092 = 1,439,092/x
  3. Step 3: Cross multiply
    679,072x = 1,439,092 × 1,439,092
  4. Step 4: Simplify right side
    679,072x = 2,070,985,784,464
  5. Step 5: Solve for x
    x = 2,070,985,784,464/679,072
  6. Step 6: Final answer
    x = 3,049,729.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.