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Finding the Third Proportional to 1,661,580 and 2,489,598

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Solution

The third proportional to 1,661,580 and 2,489,598 is: 3,730,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,580 : 2,489,598 = 2,489,598 : x
  2. Step 2: Convert to fraction form
    1,661,580/2,489,598 = 2,489,598/x
  3. Step 3: Cross multiply
    1,661,580x = 2,489,598 × 2,489,598
  4. Step 4: Simplify right side
    1,661,580x = 6,198,098,201,604
  5. Step 5: Solve for x
    x = 6,198,098,201,604/1,661,580
  6. Step 6: Final answer
    x = 3,730,243.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.