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Finding the Third Proportional to 1,772,512 and 2,749,812

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Solution

The third proportional to 1,772,512 and 2,749,812 is: 4,265,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,512 : 2,749,812 = 2,749,812 : x
  2. Step 2: Convert to fraction form
    1,772,512/2,749,812 = 2,749,812/x
  3. Step 3: Cross multiply
    1,772,512x = 2,749,812 × 2,749,812
  4. Step 4: Simplify right side
    1,772,512x = 7,561,466,035,344
  5. Step 5: Solve for x
    x = 7,561,466,035,344/1,772,512
  6. Step 6: Final answer
    x = 4,265,960.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.