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Finding the Third Proportional to 945,205 and 2,074,119

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Solution

The third proportional to 945,205 and 2,074,119 is: 4,551,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,205 : 2,074,119 = 2,074,119 : x
  2. Step 2: Convert to fraction form
    945,205/2,074,119 = 2,074,119/x
  3. Step 3: Cross multiply
    945,205x = 2,074,119 × 2,074,119
  4. Step 4: Simplify right side
    945,205x = 4,301,969,626,161
  5. Step 5: Solve for x
    x = 4,301,969,626,161/945,205
  6. Step 6: Final answer
    x = 4,551,361.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.