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Finding the Third Proportional to 902,364 and 1,269,602

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Solution

The third proportional to 902,364 and 1,269,602 is: 1,786,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,364 : 1,269,602 = 1,269,602 : x
  2. Step 2: Convert to fraction form
    902,364/1,269,602 = 1,269,602/x
  3. Step 3: Cross multiply
    902,364x = 1,269,602 × 1,269,602
  4. Step 4: Simplify right side
    902,364x = 1,611,889,238,404
  5. Step 5: Solve for x
    x = 1,611,889,238,404/902,364
  6. Step 6: Final answer
    x = 1,786,296.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.