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Finding the Third Proportional to 561,311 and 1,202,326

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Solution

The third proportional to 561,311 and 1,202,326 is: 2,575,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,311 : 1,202,326 = 1,202,326 : x
  2. Step 2: Convert to fraction form
    561,311/1,202,326 = 1,202,326/x
  3. Step 3: Cross multiply
    561,311x = 1,202,326 × 1,202,326
  4. Step 4: Simplify right side
    561,311x = 1,445,587,810,276
  5. Step 5: Solve for x
    x = 1,445,587,810,276/561,311
  6. Step 6: Final answer
    x = 2,575,377.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.