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Finding the Third Proportional to 539,194 and 845,763

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Solution

The third proportional to 539,194 and 845,763 is: 1,326,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,194 : 845,763 = 845,763 : x
  2. Step 2: Convert to fraction form
    539,194/845,763 = 845,763/x
  3. Step 3: Cross multiply
    539,194x = 845,763 × 845,763
  4. Step 4: Simplify right side
    539,194x = 715,315,052,169
  5. Step 5: Solve for x
    x = 715,315,052,169/539,194
  6. Step 6: Final answer
    x = 1,326,637.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.