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Finding the Third Proportional to 393,509 and 869,716

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Solution

The third proportional to 393,509 and 869,716 is: 1,922,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,509 : 869,716 = 869,716 : x
  2. Step 2: Convert to fraction form
    393,509/869,716 = 869,716/x
  3. Step 3: Cross multiply
    393,509x = 869,716 × 869,716
  4. Step 4: Simplify right side
    393,509x = 756,405,920,656
  5. Step 5: Solve for x
    x = 756,405,920,656/393,509
  6. Step 6: Final answer
    x = 1,922,207.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.