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Finding the Third Proportional to 694,456 and 1,521,858

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Solution

The third proportional to 694,456 and 1,521,858 is: 3,335,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,456 : 1,521,858 = 1,521,858 : x
  2. Step 2: Convert to fraction form
    694,456/1,521,858 = 1,521,858/x
  3. Step 3: Cross multiply
    694,456x = 1,521,858 × 1,521,858
  4. Step 4: Simplify right side
    694,456x = 2,316,051,772,164
  5. Step 5: Solve for x
    x = 2,316,051,772,164/694,456
  6. Step 6: Final answer
    x = 3,335,059.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.