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Finding the Third Proportional to 649,744 and 974,616

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Solution

The third proportional to 649,744 and 974,616 is: 1,461,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,744 : 974,616 = 974,616 : x
  2. Step 2: Convert to fraction form
    649,744/974,616 = 974,616/x
  3. Step 3: Cross multiply
    649,744x = 974,616 × 974,616
  4. Step 4: Simplify right side
    649,744x = 949,876,347,456
  5. Step 5: Solve for x
    x = 949,876,347,456/649,744
  6. Step 6: Final answer
    x = 1,461,924

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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.