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Finding the Third Proportional to 447,123 and 974,544

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Solution

The third proportional to 447,123 and 974,544 is: 2,124,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,123 : 974,544 = 974,544 : x
  2. Step 2: Convert to fraction form
    447,123/974,544 = 974,544/x
  3. Step 3: Cross multiply
    447,123x = 974,544 × 974,544
  4. Step 4: Simplify right side
    447,123x = 949,736,007,936
  5. Step 5: Solve for x
    x = 949,736,007,936/447,123
  6. Step 6: Final answer
    x = 2,124,104.57

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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.