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Finding the Third Proportional to 966,926 and 2,049,108

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Solution

The third proportional to 966,926 and 2,049,108 is: 4,342,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,926 : 2,049,108 = 2,049,108 : x
  2. Step 2: Convert to fraction form
    966,926/2,049,108 = 2,049,108/x
  3. Step 3: Cross multiply
    966,926x = 2,049,108 × 2,049,108
  4. Step 4: Simplify right side
    966,926x = 4,198,843,595,664
  5. Step 5: Solve for x
    x = 4,198,843,595,664/966,926
  6. Step 6: Final answer
    x = 4,342,466.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.