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Finding the Third Proportional to 857,683 and 1,257,879

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Solution

The third proportional to 857,683 and 1,257,879 is: 1,844,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,683 : 1,257,879 = 1,257,879 : x
  2. Step 2: Convert to fraction form
    857,683/1,257,879 = 1,257,879/x
  3. Step 3: Cross multiply
    857,683x = 1,257,879 × 1,257,879
  4. Step 4: Simplify right side
    857,683x = 1,582,259,578,641
  5. Step 5: Solve for x
    x = 1,582,259,578,641/857,683
  6. Step 6: Final answer
    x = 1,844,806.97

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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.