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Finding the Third Proportional to 434,243 and 956,834

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Solution

The third proportional to 434,243 and 956,834 is: 2,108,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,243 : 956,834 = 956,834 : x
  2. Step 2: Convert to fraction form
    434,243/956,834 = 956,834/x
  3. Step 3: Cross multiply
    434,243x = 956,834 × 956,834
  4. Step 4: Simplify right side
    434,243x = 915,531,303,556
  5. Step 5: Solve for x
    x = 915,531,303,556/434,243
  6. Step 6: Final answer
    x = 2,108,338.66

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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.