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Finding the Third Proportional to 651,494 and 996,614

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Solution

The third proportional to 651,494 and 996,614 is: 1,524,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,494 : 996,614 = 996,614 : x
  2. Step 2: Convert to fraction form
    651,494/996,614 = 996,614/x
  3. Step 3: Cross multiply
    651,494x = 996,614 × 996,614
  4. Step 4: Simplify right side
    651,494x = 993,239,464,996
  5. Step 5: Solve for x
    x = 993,239,464,996/651,494
  6. Step 6: Final answer
    x = 1,524,556.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.