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Finding the Third Proportional to 857,783 and 1,261,713

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Solution

The third proportional to 857,783 and 1,261,713 is: 1,855,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,783 : 1,261,713 = 1,261,713 : x
  2. Step 2: Convert to fraction form
    857,783/1,261,713 = 1,261,713/x
  3. Step 3: Cross multiply
    857,783x = 1,261,713 × 1,261,713
  4. Step 4: Simplify right side
    857,783x = 1,591,919,694,369
  5. Step 5: Solve for x
    x = 1,591,919,694,369/857,783
  6. Step 6: Final answer
    x = 1,855,853.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.