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Finding the Third Proportional to 651,483 and 996,599

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Solution

The third proportional to 651,483 and 996,599 is: 1,524,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,483 : 996,599 = 996,599 : x
  2. Step 2: Convert to fraction form
    651,483/996,599 = 996,599/x
  3. Step 3: Cross multiply
    651,483x = 996,599 × 996,599
  4. Step 4: Simplify right side
    651,483x = 993,209,566,801
  5. Step 5: Solve for x
    x = 993,209,566,801/651,483
  6. Step 6: Final answer
    x = 1,524,536.43

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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.