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Finding the Third Proportional to 693,072 and 1,504,728

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Solution

The third proportional to 693,072 and 1,504,728 is: 3,266,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,072 : 1,504,728 = 1,504,728 : x
  2. Step 2: Convert to fraction form
    693,072/1,504,728 = 1,504,728/x
  3. Step 3: Cross multiply
    693,072x = 1,504,728 × 1,504,728
  4. Step 4: Simplify right side
    693,072x = 2,264,206,353,984
  5. Step 5: Solve for x
    x = 2,264,206,353,984/693,072
  6. Step 6: Final answer
    x = 3,266,913.62

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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.