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Finding the Third Proportional to 582,702 and 1,267,950

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Solution

The third proportional to 582,702 and 1,267,950 is: 2,759,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,702 : 1,267,950 = 1,267,950 : x
  2. Step 2: Convert to fraction form
    582,702/1,267,950 = 1,267,950/x
  3. Step 3: Cross multiply
    582,702x = 1,267,950 × 1,267,950
  4. Step 4: Simplify right side
    582,702x = 1,607,697,202,500
  5. Step 5: Solve for x
    x = 1,607,697,202,500/582,702
  6. Step 6: Final answer
    x = 2,759,038.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.