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Finding the Third Proportional to 903,906 and 1,965,096

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Solution

The third proportional to 903,906 and 1,965,096 is: 4,272,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,906 : 1,965,096 = 1,965,096 : x
  2. Step 2: Convert to fraction form
    903,906/1,965,096 = 1,965,096/x
  3. Step 3: Cross multiply
    903,906x = 1,965,096 × 1,965,096
  4. Step 4: Simplify right side
    903,906x = 3,861,602,289,216
  5. Step 5: Solve for x
    x = 3,861,602,289,216/903,906
  6. Step 6: Final answer
    x = 4,272,128.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.