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Finding the Third Proportional to 724,686 and 1,065,717

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Solution

The third proportional to 724,686 and 1,065,717 is: 1,567,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,686 : 1,065,717 = 1,065,717 : x
  2. Step 2: Convert to fraction form
    724,686/1,065,717 = 1,065,717/x
  3. Step 3: Cross multiply
    724,686x = 1,065,717 × 1,065,717
  4. Step 4: Simplify right side
    724,686x = 1,135,752,724,089
  5. Step 5: Solve for x
    x = 1,135,752,724,089/724,686
  6. Step 6: Final answer
    x = 1,567,234.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.