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Finding the Third Proportional to 444,834 and 974,355

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Solution

The third proportional to 444,834 and 974,355 is: 2,134,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,834 : 974,355 = 974,355 : x
  2. Step 2: Convert to fraction form
    444,834/974,355 = 974,355/x
  3. Step 3: Cross multiply
    444,834x = 974,355 × 974,355
  4. Step 4: Simplify right side
    444,834x = 949,367,666,025
  5. Step 5: Solve for x
    x = 949,367,666,025/444,834
  6. Step 6: Final answer
    x = 2,134,206.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.