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Finding the Third Proportional to 1,970,580 and 4,265,016

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Solution

The third proportional to 1,970,580 and 4,265,016 is: 9,230,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,580 : 4,265,016 = 4,265,016 : x
  2. Step 2: Convert to fraction form
    1,970,580/4,265,016 = 4,265,016/x
  3. Step 3: Cross multiply
    1,970,580x = 4,265,016 × 4,265,016
  4. Step 4: Simplify right side
    1,970,580x = 18,190,361,480,256
  5. Step 5: Solve for x
    x = 18,190,361,480,256/1,970,580
  6. Step 6: Final answer
    x = 9,230,968.28

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