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Finding the Third Proportional to 4,084,786 and 5,724,087

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Solution

The third proportional to 4,084,786 and 5,724,087 is: 8,021,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084,786 : 5,724,087 = 5,724,087 : x
  2. Step 2: Convert to fraction form
    4,084,786/5,724,087 = 5,724,087/x
  3. Step 3: Cross multiply
    4,084,786x = 5,724,087 × 5,724,087
  4. Step 4: Simplify right side
    4,084,786x = 32,765,171,983,569
  5. Step 5: Solve for x
    x = 32,765,171,983,569/4,084,786
  6. Step 6: Final answer
    x = 8,021,270.14

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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.