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Finding the Third Proportional to 1,470,816 and 3,177,965.25

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Solution

The third proportional to 1,470,816 and 3,177,965.25 is: 6,866,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,816 : 3,177,965.25 = 3,177,965.25 : x
  2. Step 2: Convert to fraction form
    1,470,816/3,177,965.25 = 3,177,965.25/x
  3. Step 3: Cross multiply
    1,470,816x = 3,177,965.25 × 3,177,965.25
  4. Step 4: Simplify right side
    1,470,816x = 10,099,463,130,207.56
  5. Step 5: Solve for x
    x = 10,099,463,130,207.56/1,470,816
  6. Step 6: Final answer
    x = 6,866,571.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.