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Finding the Third Proportional to 591,640 and 886,440

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Solution

The third proportional to 591,640 and 886,440 is: 1,328,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,640 : 886,440 = 886,440 : x
  2. Step 2: Convert to fraction form
    591,640/886,440 = 886,440/x
  3. Step 3: Cross multiply
    591,640x = 886,440 × 886,440
  4. Step 4: Simplify right side
    591,640x = 785,775,873,600
  5. Step 5: Solve for x
    x = 785,775,873,600/591,640
  6. Step 6: Final answer
    x = 1,328,131.76

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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.