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Finding the Third Proportional to 464,794.88 and 985,398.75

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Solution

The third proportional to 464,794.88 and 985,398.75 is: 2,089,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,794.88 : 985,398.75 = 985,398.75 : x
  2. Step 2: Convert to fraction form
    464,794.88/985,398.75 = 985,398.75/x
  3. Step 3: Cross multiply
    464,794.88x = 985,398.75 × 985,398.75
  4. Step 4: Simplify right side
    464,794.88x = 971,010,696,501.56
  5. Step 5: Solve for x
    x = 971,010,696,501.56/464,794.88
  6. Step 6: Final answer
    x = 2,089,116.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.