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Finding the Third Proportional to 598,475 and 1,279,894

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Solution

The third proportional to 598,475 and 1,279,894 is: 2,737,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,475 : 1,279,894 = 1,279,894 : x
  2. Step 2: Convert to fraction form
    598,475/1,279,894 = 1,279,894/x
  3. Step 3: Cross multiply
    598,475x = 1,279,894 × 1,279,894
  4. Step 4: Simplify right side
    598,475x = 1,638,128,651,236
  5. Step 5: Solve for x
    x = 1,638,128,651,236/598,475
  6. Step 6: Final answer
    x = 2,737,171.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.