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Finding the Third Proportional to 434,054 and 946,516

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Solution

The third proportional to 434,054 and 946,516 is: 2,064,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,054 : 946,516 = 946,516 : x
  2. Step 2: Convert to fraction form
    434,054/946,516 = 946,516/x
  3. Step 3: Cross multiply
    434,054x = 946,516 × 946,516
  4. Step 4: Simplify right side
    434,054x = 895,892,538,256
  5. Step 5: Solve for x
    x = 895,892,538,256/434,054
  6. Step 6: Final answer
    x = 2,064,011.71

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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.