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Finding the Third Proportional to 578,686 and 920,843

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Solution

The third proportional to 578,686 and 920,843 is: 1,465,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,686 : 920,843 = 920,843 : x
  2. Step 2: Convert to fraction form
    578,686/920,843 = 920,843/x
  3. Step 3: Cross multiply
    578,686x = 920,843 × 920,843
  4. Step 4: Simplify right side
    578,686x = 847,951,830,649
  5. Step 5: Solve for x
    x = 847,951,830,649/578,686
  6. Step 6: Final answer
    x = 1,465,305.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.