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Finding the Third Proportional to 369,833 and 795,847

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Solution

The third proportional to 369,833 and 795,847 is: 1,712,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,833 : 795,847 = 795,847 : x
  2. Step 2: Convert to fraction form
    369,833/795,847 = 795,847/x
  3. Step 3: Cross multiply
    369,833x = 795,847 × 795,847
  4. Step 4: Simplify right side
    369,833x = 633,372,447,409
  5. Step 5: Solve for x
    x = 633,372,447,409/369,833
  6. Step 6: Final answer
    x = 1,712,590.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.