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Finding the Third Proportional to 651,485 and 996,602

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Solution

The third proportional to 651,485 and 996,602 is: 1,524,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,485 : 996,602 = 996,602 : x
  2. Step 2: Convert to fraction form
    651,485/996,602 = 996,602/x
  3. Step 3: Cross multiply
    651,485x = 996,602 × 996,602
  4. Step 4: Simplify right side
    651,485x = 993,215,546,404
  5. Step 5: Solve for x
    x = 993,215,546,404/651,485
  6. Step 6: Final answer
    x = 1,524,540.93

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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.