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Finding the Third Proportional to 684,736 and 1,001,744

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Solution

The third proportional to 684,736 and 1,001,744 is: 1,465,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,736 : 1,001,744 = 1,001,744 : x
  2. Step 2: Convert to fraction form
    684,736/1,001,744 = 1,001,744/x
  3. Step 3: Cross multiply
    684,736x = 1,001,744 × 1,001,744
  4. Step 4: Simplify right side
    684,736x = 1,003,491,041,536
  5. Step 5: Solve for x
    x = 1,003,491,041,536/684,736
  6. Step 6: Final answer
    x = 1,465,515.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.