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Finding the Third Proportional to 541,684 and 1,153,351

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Solution

The third proportional to 541,684 and 1,153,351 is: 2,455,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,684 : 1,153,351 = 1,153,351 : x
  2. Step 2: Convert to fraction form
    541,684/1,153,351 = 1,153,351/x
  3. Step 3: Cross multiply
    541,684x = 1,153,351 × 1,153,351
  4. Step 4: Simplify right side
    541,684x = 1,330,218,529,201
  5. Step 5: Solve for x
    x = 1,330,218,529,201/541,684
  6. Step 6: Final answer
    x = 2,455,709.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.