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Finding the Third Proportional to 467,993 and 1,010,713

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Solution

The third proportional to 467,993 and 1,010,713 is: 2,182,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,993 : 1,010,713 = 1,010,713 : x
  2. Step 2: Convert to fraction form
    467,993/1,010,713 = 1,010,713/x
  3. Step 3: Cross multiply
    467,993x = 1,010,713 × 1,010,713
  4. Step 4: Simplify right side
    467,993x = 1,021,540,768,369
  5. Step 5: Solve for x
    x = 1,021,540,768,369/467,993
  6. Step 6: Final answer
    x = 2,182,812.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.