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Finding the Third Proportional to 592,992 and 1,306,944

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Solution

The third proportional to 592,992 and 1,306,944 is: 2,880,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,992 : 1,306,944 = 1,306,944 : x
  2. Step 2: Convert to fraction form
    592,992/1,306,944 = 1,306,944/x
  3. Step 3: Cross multiply
    592,992x = 1,306,944 × 1,306,944
  4. Step 4: Simplify right side
    592,992x = 1,708,102,619,136
  5. Step 5: Solve for x
    x = 1,708,102,619,136/592,992
  6. Step 6: Final answer
    x = 2,880,481.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.