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Finding the Third Proportional to 405,328,191.75 and 884,979,389.81

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Solution

The third proportional to 405,328,191.75 and 884,979,389.81 is: 1,932,233,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,328,191.75 : 884,979,389.81 = 884,979,389.81 : x
  2. Step 2: Convert to fraction form
    405,328,191.75/884,979,389.81 = 884,979,389.81/x
  3. Step 3: Cross multiply
    405,328,191.75x = 884,979,389.81 × 884,979,389.81
  4. Step 4: Simplify right side
    405,328,191.75x = 783,188,520,392,904,832
  5. Step 5: Solve for x
    x = 783,188,520,392,904,832/405,328,191.75
  6. Step 6: Final answer
    x = 1,932,233,030.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.