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Finding the Third Proportional to 902,718 and 1,967,355

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Solution

The third proportional to 902,718 and 1,967,355 is: 4,287,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,718 : 1,967,355 = 1,967,355 : x
  2. Step 2: Convert to fraction form
    902,718/1,967,355 = 1,967,355/x
  3. Step 3: Cross multiply
    902,718x = 1,967,355 × 1,967,355
  4. Step 4: Simplify right side
    902,718x = 3,870,485,696,025
  5. Step 5: Solve for x
    x = 3,870,485,696,025/902,718
  6. Step 6: Final answer
    x = 4,287,591.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.