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Finding the Third Proportional to 1,448,856 and 3,146,634

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Solution

The third proportional to 1,448,856 and 3,146,634 is: 6,833,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,856 : 3,146,634 = 3,146,634 : x
  2. Step 2: Convert to fraction form
    1,448,856/3,146,634 = 3,146,634/x
  3. Step 3: Cross multiply
    1,448,856x = 3,146,634 × 3,146,634
  4. Step 4: Simplify right side
    1,448,856x = 9,901,305,529,956
  5. Step 5: Solve for x
    x = 9,901,305,529,956/1,448,856
  6. Step 6: Final answer
    x = 6,833,878.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.