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Finding the Third Proportional to 722,072 and 1,081,569

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Solution

The third proportional to 722,072 and 1,081,569 is: 1,620,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,072 : 1,081,569 = 1,081,569 : x
  2. Step 2: Convert to fraction form
    722,072/1,081,569 = 1,081,569/x
  3. Step 3: Cross multiply
    722,072x = 1,081,569 × 1,081,569
  4. Step 4: Simplify right side
    722,072x = 1,169,791,501,761
  5. Step 5: Solve for x
    x = 1,169,791,501,761/722,072
  6. Step 6: Final answer
    x = 1,620,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.