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Finding the Third Proportional to 446,872 and 974,040

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Solution

The third proportional to 446,872 and 974,040 is: 2,123,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,872 : 974,040 = 974,040 : x
  2. Step 2: Convert to fraction form
    446,872/974,040 = 974,040/x
  3. Step 3: Cross multiply
    446,872x = 974,040 × 974,040
  4. Step 4: Simplify right side
    446,872x = 948,753,921,600
  5. Step 5: Solve for x
    x = 948,753,921,600/446,872
  6. Step 6: Final answer
    x = 2,123,099.95

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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.