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Finding the Third Proportional to 465,860 and 1,010,824

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Solution

The third proportional to 465,860 and 1,010,824 is: 2,193,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,860 : 1,010,824 = 1,010,824 : x
  2. Step 2: Convert to fraction form
    465,860/1,010,824 = 1,010,824/x
  3. Step 3: Cross multiply
    465,860x = 1,010,824 × 1,010,824
  4. Step 4: Simplify right side
    465,860x = 1,021,765,158,976
  5. Step 5: Solve for x
    x = 1,021,765,158,976/465,860
  6. Step 6: Final answer
    x = 2,193,288.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.