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Finding the Third Proportional to 474,039 and 880,824

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Solution

The third proportional to 474,039 and 880,824 is: 1,636,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,039 : 880,824 = 880,824 : x
  2. Step 2: Convert to fraction form
    474,039/880,824 = 880,824/x
  3. Step 3: Cross multiply
    474,039x = 880,824 × 880,824
  4. Step 4: Simplify right side
    474,039x = 775,850,918,976
  5. Step 5: Solve for x
    x = 775,850,918,976/474,039
  6. Step 6: Final answer
    x = 1,636,681.62

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.