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Finding the Third Proportional to 651,478 and 996,591

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Solution

The third proportional to 651,478 and 996,591 is: 1,524,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,478 : 996,591 = 996,591 : x
  2. Step 2: Convert to fraction form
    651,478/996,591 = 996,591/x
  3. Step 3: Cross multiply
    651,478x = 996,591 × 996,591
  4. Step 4: Simplify right side
    651,478x = 993,193,621,281
  5. Step 5: Solve for x
    x = 993,193,621,281/651,478
  6. Step 6: Final answer
    x = 1,524,523.65

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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.