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Finding the Third Proportional to 857,757 and 1,261,683

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Solution

The third proportional to 857,757 and 1,261,683 is: 1,855,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,757 : 1,261,683 = 1,261,683 : x
  2. Step 2: Convert to fraction form
    857,757/1,261,683 = 1,261,683/x
  3. Step 3: Cross multiply
    857,757x = 1,261,683 × 1,261,683
  4. Step 4: Simplify right side
    857,757x = 1,591,843,992,489
  5. Step 5: Solve for x
    x = 1,591,843,992,489/857,757
  6. Step 6: Final answer
    x = 1,855,821.63

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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.