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Finding the Third Proportional to 862,142 and 1,873,512

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Solution

The third proportional to 862,142 and 1,873,512 is: 4,071,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,142 : 1,873,512 = 1,873,512 : x
  2. Step 2: Convert to fraction form
    862,142/1,873,512 = 1,873,512/x
  3. Step 3: Cross multiply
    862,142x = 1,873,512 × 1,873,512
  4. Step 4: Simplify right side
    862,142x = 3,510,047,214,144
  5. Step 5: Solve for x
    x = 3,510,047,214,144/862,142
  6. Step 6: Final answer
    x = 4,071,309.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.