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Finding the Third Proportional to 724,036 and 1,560,392

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Solution

The third proportional to 724,036 and 1,560,392 is: 3,362,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,036 : 1,560,392 = 1,560,392 : x
  2. Step 2: Convert to fraction form
    724,036/1,560,392 = 1,560,392/x
  3. Step 3: Cross multiply
    724,036x = 1,560,392 × 1,560,392
  4. Step 4: Simplify right side
    724,036x = 2,434,823,193,664
  5. Step 5: Solve for x
    x = 2,434,823,193,664/724,036
  6. Step 6: Final answer
    x = 3,362,848.25

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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.