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Finding the Third Proportional to 434,454 and 946,144

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Solution

The third proportional to 434,454 and 946,144 is: 2,060,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,454 : 946,144 = 946,144 : x
  2. Step 2: Convert to fraction form
    434,454/946,144 = 946,144/x
  3. Step 3: Cross multiply
    434,454x = 946,144 × 946,144
  4. Step 4: Simplify right side
    434,454x = 895,188,468,736
  5. Step 5: Solve for x
    x = 895,188,468,736/434,454
  6. Step 6: Final answer
    x = 2,060,490.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.