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Finding the Third Proportional to 545,400 and 1,273,828

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Solution

The third proportional to 545,400 and 1,273,828 is: 2,975,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,400 : 1,273,828 = 1,273,828 : x
  2. Step 2: Convert to fraction form
    545,400/1,273,828 = 1,273,828/x
  3. Step 3: Cross multiply
    545,400x = 1,273,828 × 1,273,828
  4. Step 4: Simplify right side
    545,400x = 1,622,637,773,584
  5. Step 5: Solve for x
    x = 1,622,637,773,584/545,400
  6. Step 6: Final answer
    x = 2,975,133.43

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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.