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Finding the Third Proportional to 1,210,633 and 1,950,653

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Solution

The third proportional to 1,210,633 and 1,950,653 is: 3,143,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,633 : 1,950,653 = 1,950,653 : x
  2. Step 2: Convert to fraction form
    1,210,633/1,950,653 = 1,950,653/x
  3. Step 3: Cross multiply
    1,210,633x = 1,950,653 × 1,950,653
  4. Step 4: Simplify right side
    1,210,633x = 3,805,047,126,409
  5. Step 5: Solve for x
    x = 3,805,047,126,409/1,210,633
  6. Step 6: Final answer
    x = 3,143,022.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.