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Finding the Third Proportional to 632,619 and 1,364,895

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Solution

The third proportional to 632,619 and 1,364,895 is: 2,944,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,619 : 1,364,895 = 1,364,895 : x
  2. Step 2: Convert to fraction form
    632,619/1,364,895 = 1,364,895/x
  3. Step 3: Cross multiply
    632,619x = 1,364,895 × 1,364,895
  4. Step 4: Simplify right side
    632,619x = 1,862,938,361,025
  5. Step 5: Solve for x
    x = 1,862,938,361,025/632,619
  6. Step 6: Final answer
    x = 2,944,803.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.