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Finding the Third Proportional to 622,869 and 934,305

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Solution

The third proportional to 622,869 and 934,305 is: 1,401,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,869 : 934,305 = 934,305 : x
  2. Step 2: Convert to fraction form
    622,869/934,305 = 934,305/x
  3. Step 3: Cross multiply
    622,869x = 934,305 × 934,305
  4. Step 4: Simplify right side
    622,869x = 872,925,833,025
  5. Step 5: Solve for x
    x = 872,925,833,025/622,869
  6. Step 6: Final answer
    x = 1,401,459.75

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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.