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Finding the Third Proportional to 401,951 and 862,182

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Solution

The third proportional to 401,951 and 862,182 is: 1,849,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,951 : 862,182 = 862,182 : x
  2. Step 2: Convert to fraction form
    401,951/862,182 = 862,182/x
  3. Step 3: Cross multiply
    401,951x = 862,182 × 862,182
  4. Step 4: Simplify right side
    401,951x = 743,357,801,124
  5. Step 5: Solve for x
    x = 743,357,801,124/401,951
  6. Step 6: Final answer
    x = 1,849,374.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.