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Finding the Third Proportional to 444,268 and 974,996

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Solution

The third proportional to 444,268 and 974,996 is: 2,139,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,268 : 974,996 = 974,996 : x
  2. Step 2: Convert to fraction form
    444,268/974,996 = 974,996/x
  3. Step 3: Cross multiply
    444,268x = 974,996 × 974,996
  4. Step 4: Simplify right side
    444,268x = 950,617,200,016
  5. Step 5: Solve for x
    x = 950,617,200,016/444,268
  6. Step 6: Final answer
    x = 2,139,738.18

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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.