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Finding the Third Proportional to 1,002,402 and 1,448,298

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Solution

The third proportional to 1,002,402 and 1,448,298 is: 2,092,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,402 : 1,448,298 = 1,448,298 : x
  2. Step 2: Convert to fraction form
    1,002,402/1,448,298 = 1,448,298/x
  3. Step 3: Cross multiply
    1,002,402x = 1,448,298 × 1,448,298
  4. Step 4: Simplify right side
    1,002,402x = 2,097,567,096,804
  5. Step 5: Solve for x
    x = 2,097,567,096,804/1,002,402
  6. Step 6: Final answer
    x = 2,092,540.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.