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Finding the Third Proportional to 1,102,362 and 2,362,188

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Solution

The third proportional to 1,102,362 and 2,362,188 is: 5,061,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,362 : 2,362,188 = 2,362,188 : x
  2. Step 2: Convert to fraction form
    1,102,362/2,362,188 = 2,362,188/x
  3. Step 3: Cross multiply
    1,102,362x = 2,362,188 × 2,362,188
  4. Step 4: Simplify right side
    1,102,362x = 5,579,932,147,344
  5. Step 5: Solve for x
    x = 5,579,932,147,344/1,102,362
  6. Step 6: Final answer
    x = 5,061,796.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.