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Finding the Third Proportional to 591,860 and 927,456

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Solution

The third proportional to 591,860 and 927,456 is: 1,453,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,860 : 927,456 = 927,456 : x
  2. Step 2: Convert to fraction form
    591,860/927,456 = 927,456/x
  3. Step 3: Cross multiply
    591,860x = 927,456 × 927,456
  4. Step 4: Simplify right side
    591,860x = 860,174,631,936
  5. Step 5: Solve for x
    x = 860,174,631,936/591,860
  6. Step 6: Final answer
    x = 1,453,341.38

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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.