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Finding the Third Proportional to 598,128 and 888,546

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Solution

The third proportional to 598,128 and 888,546 is: 1,319,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,128 : 888,546 = 888,546 : x
  2. Step 2: Convert to fraction form
    598,128/888,546 = 888,546/x
  3. Step 3: Cross multiply
    598,128x = 888,546 × 888,546
  4. Step 4: Simplify right side
    598,128x = 789,513,994,116
  5. Step 5: Solve for x
    x = 789,513,994,116/598,128
  6. Step 6: Final answer
    x = 1,319,974.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.