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Finding the Third Proportional to 393,516 and 869,724

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Solution

The third proportional to 393,516 and 869,724 is: 1,922,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,516 : 869,724 = 869,724 : x
  2. Step 2: Convert to fraction form
    393,516/869,724 = 869,724/x
  3. Step 3: Cross multiply
    393,516x = 869,724 × 869,724
  4. Step 4: Simplify right side
    393,516x = 756,419,836,176
  5. Step 5: Solve for x
    x = 756,419,836,176/393,516
  6. Step 6: Final answer
    x = 1,922,208.59

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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.