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Finding the Third Proportional to 684,794 and 1,390,324

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Solution

The third proportional to 684,794 and 1,390,324 is: 2,822,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,794 : 1,390,324 = 1,390,324 : x
  2. Step 2: Convert to fraction form
    684,794/1,390,324 = 1,390,324/x
  3. Step 3: Cross multiply
    684,794x = 1,390,324 × 1,390,324
  4. Step 4: Simplify right side
    684,794x = 1,933,000,824,976
  5. Step 5: Solve for x
    x = 1,933,000,824,976/684,794
  6. Step 6: Final answer
    x = 2,822,747.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.