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Finding the Third Proportional to 2,592,928 and 5,601,306

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Solution

The third proportional to 2,592,928 and 5,601,306 is: 12,100,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592,928 : 5,601,306 = 5,601,306 : x
  2. Step 2: Convert to fraction form
    2,592,928/5,601,306 = 5,601,306/x
  3. Step 3: Cross multiply
    2,592,928x = 5,601,306 × 5,601,306
  4. Step 4: Simplify right side
    2,592,928x = 31,374,628,905,636
  5. Step 5: Solve for x
    x = 31,374,628,905,636/2,592,928
  6. Step 6: Final answer
    x = 12,100,077.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.