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Finding the Third Proportional to 830,424 and 1,794,012

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Solution

The third proportional to 830,424 and 1,794,012 is: 3,875,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,424 : 1,794,012 = 1,794,012 : x
  2. Step 2: Convert to fraction form
    830,424/1,794,012 = 1,794,012/x
  3. Step 3: Cross multiply
    830,424x = 1,794,012 × 1,794,012
  4. Step 4: Simplify right side
    830,424x = 3,218,479,056,144
  5. Step 5: Solve for x
    x = 3,218,479,056,144/830,424
  6. Step 6: Final answer
    x = 3,875,705.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.