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Finding the Third Proportional to 465,858 and 1,002,984

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Solution

The third proportional to 465,858 and 1,002,984 is: 2,159,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,858 : 1,002,984 = 1,002,984 : x
  2. Step 2: Convert to fraction form
    465,858/1,002,984 = 1,002,984/x
  3. Step 3: Cross multiply
    465,858x = 1,002,984 × 1,002,984
  4. Step 4: Simplify right side
    465,858x = 1,005,976,904,256
  5. Step 5: Solve for x
    x = 1,005,976,904,256/465,858
  6. Step 6: Final answer
    x = 2,159,406.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.