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Finding the Third Proportional to 434,696 and 921,728

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Solution

The third proportional to 434,696 and 921,728 is: 1,954,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,696 : 921,728 = 921,728 : x
  2. Step 2: Convert to fraction form
    434,696/921,728 = 921,728/x
  3. Step 3: Cross multiply
    434,696x = 921,728 × 921,728
  4. Step 4: Simplify right side
    434,696x = 849,582,505,984
  5. Step 5: Solve for x
    x = 849,582,505,984/434,696
  6. Step 6: Final answer
    x = 1,954,429.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.