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Finding the Third Proportional to 561,024 and 789,120

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Solution

The third proportional to 561,024 and 789,120 is: 1,109,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,024 : 789,120 = 789,120 : x
  2. Step 2: Convert to fraction form
    561,024/789,120 = 789,120/x
  3. Step 3: Cross multiply
    561,024x = 789,120 × 789,120
  4. Step 4: Simplify right side
    561,024x = 622,710,374,400
  5. Step 5: Solve for x
    x = 622,710,374,400/561,024
  6. Step 6: Final answer
    x = 1,109,953.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.