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Finding the Third Proportional to 637,824 and 919,008

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Solution

The third proportional to 637,824 and 919,008 is: 1,324,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,824 : 919,008 = 919,008 : x
  2. Step 2: Convert to fraction form
    637,824/919,008 = 919,008/x
  3. Step 3: Cross multiply
    637,824x = 919,008 × 919,008
  4. Step 4: Simplify right side
    637,824x = 844,575,704,064
  5. Step 5: Solve for x
    x = 844,575,704,064/637,824
  6. Step 6: Final answer
    x = 1,324,151.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.