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Finding the Third Proportional to 1,605,842 and 3,489,028

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Solution

The third proportional to 1,605,842 and 3,489,028 is: 7,580,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,842 : 3,489,028 = 3,489,028 : x
  2. Step 2: Convert to fraction form
    1,605,842/3,489,028 = 3,489,028/x
  3. Step 3: Cross multiply
    1,605,842x = 3,489,028 × 3,489,028
  4. Step 4: Simplify right side
    1,605,842x = 12,173,316,384,784
  5. Step 5: Solve for x
    x = 12,173,316,384,784/1,605,842
  6. Step 6: Final answer
    x = 7,580,643.91

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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.