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Finding the Third Proportional to 724,032 and 1,560,384

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Solution

The third proportional to 724,032 and 1,560,384 is: 3,362,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,032 : 1,560,384 = 1,560,384 : x
  2. Step 2: Convert to fraction form
    724,032/1,560,384 = 1,560,384/x
  3. Step 3: Cross multiply
    724,032x = 1,560,384 × 1,560,384
  4. Step 4: Simplify right side
    724,032x = 2,434,798,227,456
  5. Step 5: Solve for x
    x = 2,434,798,227,456/724,032
  6. Step 6: Final answer
    x = 3,362,832.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.