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Finding the Third Proportional to 434,238 and 956,823

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Solution

The third proportional to 434,238 and 956,823 is: 2,108,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,238 : 956,823 = 956,823 : x
  2. Step 2: Convert to fraction form
    434,238/956,823 = 956,823/x
  3. Step 3: Cross multiply
    434,238x = 956,823 × 956,823
  4. Step 4: Simplify right side
    434,238x = 915,510,253,329
  5. Step 5: Solve for x
    x = 915,510,253,329/434,238
  6. Step 6: Final answer
    x = 2,108,314.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.