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Finding the Third Proportional to 598,578 and 1,292,108

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Solution

The third proportional to 598,578 and 1,292,108 is: 2,789,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,578 : 1,292,108 = 1,292,108 : x
  2. Step 2: Convert to fraction form
    598,578/1,292,108 = 1,292,108/x
  3. Step 3: Cross multiply
    598,578x = 1,292,108 × 1,292,108
  4. Step 4: Simplify right side
    598,578x = 1,669,543,083,664
  5. Step 5: Solve for x
    x = 1,669,543,083,664/598,578
  6. Step 6: Final answer
    x = 2,789,182.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.