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Finding the Third Proportional to 679,131 and 1,414,071

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Solution

The third proportional to 679,131 and 1,414,071 is: 2,944,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,131 : 1,414,071 = 1,414,071 : x
  2. Step 2: Convert to fraction form
    679,131/1,414,071 = 1,414,071/x
  3. Step 3: Cross multiply
    679,131x = 1,414,071 × 1,414,071
  4. Step 4: Simplify right side
    679,131x = 1,999,596,793,041
  5. Step 5: Solve for x
    x = 1,999,596,793,041/679,131
  6. Step 6: Final answer
    x = 2,944,346.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.