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Finding the Third Proportional to 966,312 and 2,183,167

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Solution

The third proportional to 966,312 and 2,183,167 is: 4,932,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,312 : 2,183,167 = 2,183,167 : x
  2. Step 2: Convert to fraction form
    966,312/2,183,167 = 2,183,167/x
  3. Step 3: Cross multiply
    966,312x = 2,183,167 × 2,183,167
  4. Step 4: Simplify right side
    966,312x = 4,766,218,149,889
  5. Step 5: Solve for x
    x = 4,766,218,149,889/966,312
  6. Step 6: Final answer
    x = 4,932,380.17

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.