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Finding the Third Proportional to 598,601 and 1,292,158

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Solution

The third proportional to 598,601 and 1,292,158 is: 2,789,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,601 : 1,292,158 = 1,292,158 : x
  2. Step 2: Convert to fraction form
    598,601/1,292,158 = 1,292,158/x
  3. Step 3: Cross multiply
    598,601x = 1,292,158 × 1,292,158
  4. Step 4: Simplify right side
    598,601x = 1,669,672,296,964
  5. Step 5: Solve for x
    x = 1,669,672,296,964/598,601
  6. Step 6: Final answer
    x = 2,789,290.86

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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.