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Finding the Third Proportional to 613,810 and 1,333,872

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Solution

The third proportional to 613,810 and 1,333,872 is: 2,898,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,810 : 1,333,872 = 1,333,872 : x
  2. Step 2: Convert to fraction form
    613,810/1,333,872 = 1,333,872/x
  3. Step 3: Cross multiply
    613,810x = 1,333,872 × 1,333,872
  4. Step 4: Simplify right side
    613,810x = 1,779,214,512,384
  5. Step 5: Solve for x
    x = 1,779,214,512,384/613,810
  6. Step 6: Final answer
    x = 2,898,640.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.