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Finding the Third Proportional to 945,710 and 2,052,172

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Solution

The third proportional to 945,710 and 2,052,172 is: 4,453,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,710 : 2,052,172 = 2,052,172 : x
  2. Step 2: Convert to fraction form
    945,710/2,052,172 = 2,052,172/x
  3. Step 3: Cross multiply
    945,710x = 2,052,172 × 2,052,172
  4. Step 4: Simplify right side
    945,710x = 4,211,409,917,584
  5. Step 5: Solve for x
    x = 4,211,409,917,584/945,710
  6. Step 6: Final answer
    x = 4,453,172.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.