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Finding the Third Proportional to 655,857 and 1,434,348

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Solution

The third proportional to 655,857 and 1,434,348 is: 3,136,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,857 : 1,434,348 = 1,434,348 : x
  2. Step 2: Convert to fraction form
    655,857/1,434,348 = 1,434,348/x
  3. Step 3: Cross multiply
    655,857x = 1,434,348 × 1,434,348
  4. Step 4: Simplify right side
    655,857x = 2,057,354,185,104
  5. Step 5: Solve for x
    x = 2,057,354,185,104/655,857
  6. Step 6: Final answer
    x = 3,136,894.45

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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.