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Finding the Third Proportional to 2,048,560 and 3,101,144

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Solution

The third proportional to 2,048,560 and 3,101,144 is: 4,694,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,560 : 3,101,144 = 3,101,144 : x
  2. Step 2: Convert to fraction form
    2,048,560/3,101,144 = 3,101,144/x
  3. Step 3: Cross multiply
    2,048,560x = 3,101,144 × 3,101,144
  4. Step 4: Simplify right side
    2,048,560x = 9,617,094,108,736
  5. Step 5: Solve for x
    x = 9,617,094,108,736/2,048,560
  6. Step 6: Final answer
    x = 4,694,563.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.