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Finding the Third Proportional to 968,714 and 2,111,812

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Solution

The third proportional to 968,714 and 2,111,812 is: 4,603,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,714 : 2,111,812 = 2,111,812 : x
  2. Step 2: Convert to fraction form
    968,714/2,111,812 = 2,111,812/x
  3. Step 3: Cross multiply
    968,714x = 2,111,812 × 2,111,812
  4. Step 4: Simplify right side
    968,714x = 4,459,749,923,344
  5. Step 5: Solve for x
    x = 4,459,749,923,344/968,714
  6. Step 6: Final answer
    x = 4,603,783.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.