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Finding the Third Proportional to 857,586 and 1,260,702

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Solution

The third proportional to 857,586 and 1,260,702 is: 1,853,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,586 : 1,260,702 = 1,260,702 : x
  2. Step 2: Convert to fraction form
    857,586/1,260,702 = 1,260,702/x
  3. Step 3: Cross multiply
    857,586x = 1,260,702 × 1,260,702
  4. Step 4: Simplify right side
    857,586x = 1,589,369,532,804
  5. Step 5: Solve for x
    x = 1,589,369,532,804/857,586
  6. Step 6: Final answer
    x = 1,853,306.30

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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.