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Finding the Third Proportional to 467,796 and 984,492

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Solution

The third proportional to 467,796 and 984,492 is: 2,071,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,796 : 984,492 = 984,492 : x
  2. Step 2: Convert to fraction form
    467,796/984,492 = 984,492/x
  3. Step 3: Cross multiply
    467,796x = 984,492 × 984,492
  4. Step 4: Simplify right side
    467,796x = 969,224,498,064
  5. Step 5: Solve for x
    x = 969,224,498,064/467,796
  6. Step 6: Final answer
    x = 2,071,895.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.