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Finding the Third Proportional to 548,326 and 1,202,577

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Solution

The third proportional to 548,326 and 1,202,577 is: 2,637,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,326 : 1,202,577 = 1,202,577 : x
  2. Step 2: Convert to fraction form
    548,326/1,202,577 = 1,202,577/x
  3. Step 3: Cross multiply
    548,326x = 1,202,577 × 1,202,577
  4. Step 4: Simplify right side
    548,326x = 1,446,191,440,929
  5. Step 5: Solve for x
    x = 1,446,191,440,929/548,326
  6. Step 6: Final answer
    x = 2,637,466.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.