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Finding the Third Proportional to 830,768 and 1,801,504

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Solution

The third proportional to 830,768 and 1,801,504 is: 3,906,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,768 : 1,801,504 = 1,801,504 : x
  2. Step 2: Convert to fraction form
    830,768/1,801,504 = 1,801,504/x
  3. Step 3: Cross multiply
    830,768x = 1,801,504 × 1,801,504
  4. Step 4: Simplify right side
    830,768x = 3,245,416,662,016
  5. Step 5: Solve for x
    x = 3,245,416,662,016/830,768
  6. Step 6: Final answer
    x = 3,906,525.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.