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Finding the Third Proportional to 483,714 and 1,007,130

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Solution

The third proportional to 483,714 and 1,007,130 is: 2,096,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,714 : 1,007,130 = 1,007,130 : x
  2. Step 2: Convert to fraction form
    483,714/1,007,130 = 1,007,130/x
  3. Step 3: Cross multiply
    483,714x = 1,007,130 × 1,007,130
  4. Step 4: Simplify right side
    483,714x = 1,014,310,836,900
  5. Step 5: Solve for x
    x = 1,014,310,836,900/483,714
  6. Step 6: Final answer
    x = 2,096,922.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.