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Finding the Third Proportional to 606,964 and 874,350

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Solution

The third proportional to 606,964 and 874,350 is: 1,259,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,964 : 874,350 = 874,350 : x
  2. Step 2: Convert to fraction form
    606,964/874,350 = 874,350/x
  3. Step 3: Cross multiply
    606,964x = 874,350 × 874,350
  4. Step 4: Simplify right side
    606,964x = 764,487,922,500
  5. Step 5: Solve for x
    x = 764,487,922,500/606,964
  6. Step 6: Final answer
    x = 1,259,527.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.