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Finding the Third Proportional to 857,549 and 1,260,633

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Solution

The third proportional to 857,549 and 1,260,633 is: 1,853,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,549 : 1,260,633 = 1,260,633 : x
  2. Step 2: Convert to fraction form
    857,549/1,260,633 = 1,260,633/x
  3. Step 3: Cross multiply
    857,549x = 1,260,633 × 1,260,633
  4. Step 4: Simplify right side
    857,549x = 1,589,195,560,689
  5. Step 5: Solve for x
    x = 1,589,195,560,689/857,549
  6. Step 6: Final answer
    x = 1,853,183.39

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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.