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Finding the Third Proportional to 467,798 and 984,496

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Solution

The third proportional to 467,798 and 984,496 is: 2,071,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,798 : 984,496 = 984,496 : x
  2. Step 2: Convert to fraction form
    467,798/984,496 = 984,496/x
  3. Step 3: Cross multiply
    467,798x = 984,496 × 984,496
  4. Step 4: Simplify right side
    467,798x = 969,232,374,016
  5. Step 5: Solve for x
    x = 969,232,374,016/467,798
  6. Step 6: Final answer
    x = 2,071,903.63

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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.