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Finding the Third Proportional to 1,048,169 and 2,233,606

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Solution

The third proportional to 1,048,169 and 2,233,606 is: 4,759,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,169 : 2,233,606 = 2,233,606 : x
  2. Step 2: Convert to fraction form
    1,048,169/2,233,606 = 2,233,606/x
  3. Step 3: Cross multiply
    1,048,169x = 2,233,606 × 2,233,606
  4. Step 4: Simplify right side
    1,048,169x = 4,988,995,763,236
  5. Step 5: Solve for x
    x = 4,988,995,763,236/1,048,169
  6. Step 6: Final answer
    x = 4,759,724.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.