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Finding the Third Proportional to 622,650 and 933,981

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Solution

The third proportional to 622,650 and 933,981 is: 1,400,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,650 : 933,981 = 933,981 : x
  2. Step 2: Convert to fraction form
    622,650/933,981 = 933,981/x
  3. Step 3: Cross multiply
    622,650x = 933,981 × 933,981
  4. Step 4: Simplify right side
    622,650x = 872,320,508,361
  5. Step 5: Solve for x
    x = 872,320,508,361/622,650
  6. Step 6: Final answer
    x = 1,400,980.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.