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Finding the Third Proportional to 857,781 and 1,261,710

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Solution

The third proportional to 857,781 and 1,261,710 is: 1,855,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,781 : 1,261,710 = 1,261,710 : x
  2. Step 2: Convert to fraction form
    857,781/1,261,710 = 1,261,710/x
  3. Step 3: Cross multiply
    857,781x = 1,261,710 × 1,261,710
  4. Step 4: Simplify right side
    857,781x = 1,591,912,124,100
  5. Step 5: Solve for x
    x = 1,591,912,124,100/857,781
  6. Step 6: Final answer
    x = 1,855,849.13

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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.