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Finding the Third Proportional to 1,631,434 and 3,578,036

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Solution

The third proportional to 1,631,434 and 3,578,036 is: 7,847,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,434 : 3,578,036 = 3,578,036 : x
  2. Step 2: Convert to fraction form
    1,631,434/3,578,036 = 3,578,036/x
  3. Step 3: Cross multiply
    1,631,434x = 3,578,036 × 3,578,036
  4. Step 4: Simplify right side
    1,631,434x = 12,802,341,617,296
  5. Step 5: Solve for x
    x = 12,802,341,617,296/1,631,434
  6. Step 6: Final answer
    x = 7,847,293.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.