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Finding the Third Proportional to 434,244 and 956,835

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Solution

The third proportional to 434,244 and 956,835 is: 2,108,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,244 : 956,835 = 956,835 : x
  2. Step 2: Convert to fraction form
    434,244/956,835 = 956,835/x
  3. Step 3: Cross multiply
    434,244x = 956,835 × 956,835
  4. Step 4: Simplify right side
    434,244x = 915,533,217,225
  5. Step 5: Solve for x
    x = 915,533,217,225/434,244
  6. Step 6: Final answer
    x = 2,108,338.21

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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.