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Finding the Third Proportional to 902,708 and 1,428,044

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Solution

The third proportional to 902,708 and 1,428,044 is: 2,259,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,708 : 1,428,044 = 1,428,044 : x
  2. Step 2: Convert to fraction form
    902,708/1,428,044 = 1,428,044/x
  3. Step 3: Cross multiply
    902,708x = 1,428,044 × 1,428,044
  4. Step 4: Simplify right side
    902,708x = 2,039,309,665,936
  5. Step 5: Solve for x
    x = 2,039,309,665,936/902,708
  6. Step 6: Final answer
    x = 2,259,102.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.