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Finding the Third Proportional to 724,102 and 1,562,022

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Solution

The third proportional to 724,102 and 1,562,022 is: 3,369,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,102 : 1,562,022 = 1,562,022 : x
  2. Step 2: Convert to fraction form
    724,102/1,562,022 = 1,562,022/x
  3. Step 3: Cross multiply
    724,102x = 1,562,022 × 1,562,022
  4. Step 4: Simplify right side
    724,102x = 2,439,912,728,484
  5. Step 5: Solve for x
    x = 2,439,912,728,484/724,102
  6. Step 6: Final answer
    x = 3,369,570.49

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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.