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Finding the Third Proportional to 857,759 and 1,261,681

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Solution

The third proportional to 857,759 and 1,261,681 is: 1,855,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,759 : 1,261,681 = 1,261,681 : x
  2. Step 2: Convert to fraction form
    857,759/1,261,681 = 1,261,681/x
  3. Step 3: Cross multiply
    857,759x = 1,261,681 × 1,261,681
  4. Step 4: Simplify right side
    857,759x = 1,591,838,945,761
  5. Step 5: Solve for x
    x = 1,591,838,945,761/857,759
  6. Step 6: Final answer
    x = 1,855,811.42

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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.