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Finding the Third Proportional to 590,804 and 1,288,546

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Solution

The third proportional to 590,804 and 1,288,546 is: 2,810,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,804 : 1,288,546 = 1,288,546 : x
  2. Step 2: Convert to fraction form
    590,804/1,288,546 = 1,288,546/x
  3. Step 3: Cross multiply
    590,804x = 1,288,546 × 1,288,546
  4. Step 4: Simplify right side
    590,804x = 1,660,350,794,116
  5. Step 5: Solve for x
    x = 1,660,350,794,116/590,804
  6. Step 6: Final answer
    x = 2,810,324.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.