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Finding the Third Proportional to 446,880 and 974,094

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Solution

The third proportional to 446,880 and 974,094 is: 2,123,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,880 : 974,094 = 974,094 : x
  2. Step 2: Convert to fraction form
    446,880/974,094 = 974,094/x
  3. Step 3: Cross multiply
    446,880x = 974,094 × 974,094
  4. Step 4: Simplify right side
    446,880x = 948,859,120,836
  5. Step 5: Solve for x
    x = 948,859,120,836/446,880
  6. Step 6: Final answer
    x = 2,123,297.35

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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.