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Finding the Third Proportional to 655,880 and 1,434,392

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Solution

The third proportional to 655,880 and 1,434,392 is: 3,136,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,880 : 1,434,392 = 1,434,392 : x
  2. Step 2: Convert to fraction form
    655,880/1,434,392 = 1,434,392/x
  3. Step 3: Cross multiply
    655,880x = 1,434,392 × 1,434,392
  4. Step 4: Simplify right side
    655,880x = 2,057,480,409,664
  5. Step 5: Solve for x
    x = 2,057,480,409,664/655,880
  6. Step 6: Final answer
    x = 3,136,976.90

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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.