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Finding the Third Proportional to 1,036,298 and 2,241,133

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Solution

The third proportional to 1,036,298 and 2,241,133 is: 4,846,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,298 : 2,241,133 = 2,241,133 : x
  2. Step 2: Convert to fraction form
    1,036,298/2,241,133 = 2,241,133/x
  3. Step 3: Cross multiply
    1,036,298x = 2,241,133 × 2,241,133
  4. Step 4: Simplify right side
    1,036,298x = 5,022,677,123,689
  5. Step 5: Solve for x
    x = 5,022,677,123,689/1,036,298
  6. Step 6: Final answer
    x = 4,846,749.80

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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.