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Finding the Third Proportional to 724,690 and 984,111

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Solution

The third proportional to 724,690 and 984,111 is: 1,336,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,690 : 984,111 = 984,111 : x
  2. Step 2: Convert to fraction form
    724,690/984,111 = 984,111/x
  3. Step 3: Cross multiply
    724,690x = 984,111 × 984,111
  4. Step 4: Simplify right side
    724,690x = 968,474,460,321
  5. Step 5: Solve for x
    x = 968,474,460,321/724,690
  6. Step 6: Final answer
    x = 1,336,398.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.