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Finding the Third Proportional to 2,046,647.25 and 4,433,892.75

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Solution

The third proportional to 2,046,647.25 and 4,433,892.75 is: 9,605,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,647.25 : 4,433,892.75 = 4,433,892.75 : x
  2. Step 2: Convert to fraction form
    2,046,647.25/4,433,892.75 = 4,433,892.75/x
  3. Step 3: Cross multiply
    2,046,647.25x = 4,433,892.75 × 4,433,892.75
  4. Step 4: Simplify right side
    2,046,647.25x = 19,659,404,918,502.56
  5. Step 5: Solve for x
    x = 19,659,404,918,502.56/2,046,647.25
  6. Step 6: Final answer
    x = 9,605,663.56

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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.