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Finding the Third Proportional to 545,393 and 1,273,813

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Solution

The third proportional to 545,393 and 1,273,813 is: 2,975,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,393 : 1,273,813 = 1,273,813 : x
  2. Step 2: Convert to fraction form
    545,393/1,273,813 = 1,273,813/x
  3. Step 3: Cross multiply
    545,393x = 1,273,813 × 1,273,813
  4. Step 4: Simplify right side
    545,393x = 1,622,599,558,969
  5. Step 5: Solve for x
    x = 1,622,599,558,969/545,393
  6. Step 6: Final answer
    x = 2,975,101.55

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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.