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Finding the Third Proportional to 789,680 and 1,255,944

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Solution

The third proportional to 789,680 and 1,255,944 is: 1,997,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,680 : 1,255,944 = 1,255,944 : x
  2. Step 2: Convert to fraction form
    789,680/1,255,944 = 1,255,944/x
  3. Step 3: Cross multiply
    789,680x = 1,255,944 × 1,255,944
  4. Step 4: Simplify right side
    789,680x = 1,577,395,331,136
  5. Step 5: Solve for x
    x = 1,577,395,331,136/789,680
  6. Step 6: Final answer
    x = 1,997,512.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.