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Finding the Third Proportional to 531,684 and 1,166,715

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Solution

The third proportional to 531,684 and 1,166,715 is: 2,560,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,684 : 1,166,715 = 1,166,715 : x
  2. Step 2: Convert to fraction form
    531,684/1,166,715 = 1,166,715/x
  3. Step 3: Cross multiply
    531,684x = 1,166,715 × 1,166,715
  4. Step 4: Simplify right side
    531,684x = 1,361,223,891,225
  5. Step 5: Solve for x
    x = 1,361,223,891,225/531,684
  6. Step 6: Final answer
    x = 2,560,212.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.