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Finding the Third Proportional to 434,210 and 946,756

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Solution

The third proportional to 434,210 and 946,756 is: 2,064,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,210 : 946,756 = 946,756 : x
  2. Step 2: Convert to fraction form
    434,210/946,756 = 946,756/x
  3. Step 3: Cross multiply
    434,210x = 946,756 × 946,756
  4. Step 4: Simplify right side
    434,210x = 896,346,923,536
  5. Step 5: Solve for x
    x = 896,346,923,536/434,210
  6. Step 6: Final answer
    x = 2,064,316.63

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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.