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Finding the Third Proportional to 651,711 and 996,958

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Solution

The third proportional to 651,711 and 996,958 is: 1,525,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,711 : 996,958 = 996,958 : x
  2. Step 2: Convert to fraction form
    651,711/996,958 = 996,958/x
  3. Step 3: Cross multiply
    651,711x = 996,958 × 996,958
  4. Step 4: Simplify right side
    651,711x = 993,925,253,764
  5. Step 5: Solve for x
    x = 993,925,253,764/651,711
  6. Step 6: Final answer
    x = 1,525,101.24

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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.