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Finding the Third Proportional to 902,864 and 1,428,440

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Solution

The third proportional to 902,864 and 1,428,440 is: 2,259,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,864 : 1,428,440 = 1,428,440 : x
  2. Step 2: Convert to fraction form
    902,864/1,428,440 = 1,428,440/x
  3. Step 3: Cross multiply
    902,864x = 1,428,440 × 1,428,440
  4. Step 4: Simplify right side
    902,864x = 2,040,440,833,600
  5. Step 5: Solve for x
    x = 2,040,440,833,600/902,864
  6. Step 6: Final answer
    x = 2,259,964.77

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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.