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Finding the Third Proportional to 545,394 and 1,273,812

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Solution

The third proportional to 545,394 and 1,273,812 is: 2,975,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,394 : 1,273,812 = 1,273,812 : x
  2. Step 2: Convert to fraction form
    545,394/1,273,812 = 1,273,812/x
  3. Step 3: Cross multiply
    545,394x = 1,273,812 × 1,273,812
  4. Step 4: Simplify right side
    545,394x = 1,622,597,011,344
  5. Step 5: Solve for x
    x = 1,622,597,011,344/545,394
  6. Step 6: Final answer
    x = 2,975,091.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.