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Finding the Third Proportional to 1,233,768 and 2,856,006

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Solution

The third proportional to 1,233,768 and 2,856,006 is: 6,611,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,768 : 2,856,006 = 2,856,006 : x
  2. Step 2: Convert to fraction form
    1,233,768/2,856,006 = 2,856,006/x
  3. Step 3: Cross multiply
    1,233,768x = 2,856,006 × 2,856,006
  4. Step 4: Simplify right side
    1,233,768x = 8,156,770,272,036
  5. Step 5: Solve for x
    x = 8,156,770,272,036/1,233,768
  6. Step 6: Final answer
    x = 6,611,267.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.