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Finding the Third Proportional to 1,670,046 and 3,722,580

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Solution

The third proportional to 1,670,046 and 3,722,580 is: 8,297,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,046 : 3,722,580 = 3,722,580 : x
  2. Step 2: Convert to fraction form
    1,670,046/3,722,580 = 3,722,580/x
  3. Step 3: Cross multiply
    1,670,046x = 3,722,580 × 3,722,580
  4. Step 4: Simplify right side
    1,670,046x = 13,857,601,856,400
  5. Step 5: Solve for x
    x = 13,857,601,856,400/1,670,046
  6. Step 6: Final answer
    x = 8,297,736.62

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.