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Finding the Third Proportional to 724,885 and 1,569,235

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Solution

The third proportional to 724,885 and 1,569,235 is: 3,397,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,885 : 1,569,235 = 1,569,235 : x
  2. Step 2: Convert to fraction form
    724,885/1,569,235 = 1,569,235/x
  3. Step 3: Cross multiply
    724,885x = 1,569,235 × 1,569,235
  4. Step 4: Simplify right side
    724,885x = 2,462,498,485,225
  5. Step 5: Solve for x
    x = 2,462,498,485,225/724,885
  6. Step 6: Final answer
    x = 3,397,088.48

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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.