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Finding the Third Proportional to 405,552 and 882,456

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Solution

The third proportional to 405,552 and 882,456 is: 1,920,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,552 : 882,456 = 882,456 : x
  2. Step 2: Convert to fraction form
    405,552/882,456 = 882,456/x
  3. Step 3: Cross multiply
    405,552x = 882,456 × 882,456
  4. Step 4: Simplify right side
    405,552x = 778,728,591,936
  5. Step 5: Solve for x
    x = 778,728,591,936/405,552
  6. Step 6: Final answer
    x = 1,920,169.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.