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Finding the Third Proportional to 632,088 and 1,387,824

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Solution

The third proportional to 632,088 and 1,387,824 is: 3,047,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,088 : 1,387,824 = 1,387,824 : x
  2. Step 2: Convert to fraction form
    632,088/1,387,824 = 1,387,824/x
  3. Step 3: Cross multiply
    632,088x = 1,387,824 × 1,387,824
  4. Step 4: Simplify right side
    632,088x = 1,926,055,454,976
  5. Step 5: Solve for x
    x = 1,926,055,454,976/632,088
  6. Step 6: Final answer
    x = 3,047,131.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.