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Finding the Third Proportional to 4,084,784 and 5,724,084

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Solution

The third proportional to 4,084,784 and 5,724,084 is: 8,021,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084,784 : 5,724,084 = 5,724,084 : x
  2. Step 2: Convert to fraction form
    4,084,784/5,724,084 = 5,724,084/x
  3. Step 3: Cross multiply
    4,084,784x = 5,724,084 × 5,724,084
  4. Step 4: Simplify right side
    4,084,784x = 32,765,137,639,056
  5. Step 5: Solve for x
    x = 32,765,137,639,056/4,084,784
  6. Step 6: Final answer
    x = 8,021,265.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.