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Finding the Third Proportional to 1,576,646 and 3,458,496

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Solution

The third proportional to 1,576,646 and 3,458,496 is: 7,586,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,646 : 3,458,496 = 3,458,496 : x
  2. Step 2: Convert to fraction form
    1,576,646/3,458,496 = 3,458,496/x
  3. Step 3: Cross multiply
    1,576,646x = 3,458,496 × 3,458,496
  4. Step 4: Simplify right side
    1,576,646x = 11,961,194,582,016
  5. Step 5: Solve for x
    x = 11,961,194,582,016/1,576,646
  6. Step 6: Final answer
    x = 7,586,480.78

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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.