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Finding the Third Proportional to 546,883 and 855,944

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Solution

The third proportional to 546,883 and 855,944 is: 1,339,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,883 : 855,944 = 855,944 : x
  2. Step 2: Convert to fraction form
    546,883/855,944 = 855,944/x
  3. Step 3: Cross multiply
    546,883x = 855,944 × 855,944
  4. Step 4: Simplify right side
    546,883x = 732,640,131,136
  5. Step 5: Solve for x
    x = 732,640,131,136/546,883
  6. Step 6: Final answer
    x = 1,339,665.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.