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Finding the Third Proportional to 574,378 and 1,253,202

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Solution

The third proportional to 574,378 and 1,253,202 is: 2,734,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,378 : 1,253,202 = 1,253,202 : x
  2. Step 2: Convert to fraction form
    574,378/1,253,202 = 1,253,202/x
  3. Step 3: Cross multiply
    574,378x = 1,253,202 × 1,253,202
  4. Step 4: Simplify right side
    574,378x = 1,570,515,252,804
  5. Step 5: Solve for x
    x = 1,570,515,252,804/574,378
  6. Step 6: Final answer
    x = 2,734,288.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.