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Finding the Third Proportional to 557,170 and 1,203,004

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Solution

The third proportional to 557,170 and 1,203,004 is: 2,597,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,170 : 1,203,004 = 1,203,004 : x
  2. Step 2: Convert to fraction form
    557,170/1,203,004 = 1,203,004/x
  3. Step 3: Cross multiply
    557,170x = 1,203,004 × 1,203,004
  4. Step 4: Simplify right side
    557,170x = 1,447,218,624,016
  5. Step 5: Solve for x
    x = 1,447,218,624,016/557,170
  6. Step 6: Final answer
    x = 2,597,445.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.