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Finding the Third Proportional to 654,824 and 984,673

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Solution

The third proportional to 654,824 and 984,673 is: 1,480,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,824 : 984,673 = 984,673 : x
  2. Step 2: Convert to fraction form
    654,824/984,673 = 984,673/x
  3. Step 3: Cross multiply
    654,824x = 984,673 × 984,673
  4. Step 4: Simplify right side
    654,824x = 969,580,916,929
  5. Step 5: Solve for x
    x = 969,580,916,929/654,824
  6. Step 6: Final answer
    x = 1,480,674.07

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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.