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Finding the Third Proportional to 811,356 and 1,261,257

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Solution

The third proportional to 811,356 and 1,261,257 is: 1,960,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,356 : 1,261,257 = 1,261,257 : x
  2. Step 2: Convert to fraction form
    811,356/1,261,257 = 1,261,257/x
  3. Step 3: Cross multiply
    811,356x = 1,261,257 × 1,261,257
  4. Step 4: Simplify right side
    811,356x = 1,590,769,220,049
  5. Step 5: Solve for x
    x = 1,590,769,220,049/811,356
  6. Step 6: Final answer
    x = 1,960,630.38

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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.