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Finding the Third Proportional to 651,482 and 996,598

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Solution

The third proportional to 651,482 and 996,598 is: 1,524,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,482 : 996,598 = 996,598 : x
  2. Step 2: Convert to fraction form
    651,482/996,598 = 996,598/x
  3. Step 3: Cross multiply
    651,482x = 996,598 × 996,598
  4. Step 4: Simplify right side
    651,482x = 993,207,573,604
  5. Step 5: Solve for x
    x = 993,207,573,604/651,482
  6. Step 6: Final answer
    x = 1,524,535.71

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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.