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Finding the Third Proportional to 1,148,261 and 2,682,003

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Solution

The third proportional to 1,148,261 and 2,682,003 is: 6,264,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,261 : 2,682,003 = 2,682,003 : x
  2. Step 2: Convert to fraction form
    1,148,261/2,682,003 = 2,682,003/x
  3. Step 3: Cross multiply
    1,148,261x = 2,682,003 × 2,682,003
  4. Step 4: Simplify right side
    1,148,261x = 7,193,140,092,009
  5. Step 5: Solve for x
    x = 7,193,140,092,009/1,148,261
  6. Step 6: Final answer
    x = 6,264,377.26

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.