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Finding the Third Proportional to 447,993 and 974,718

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Solution

The third proportional to 447,993 and 974,718 is: 2,120,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,993 : 974,718 = 974,718 : x
  2. Step 2: Convert to fraction form
    447,993/974,718 = 974,718/x
  3. Step 3: Cross multiply
    447,993x = 974,718 × 974,718
  4. Step 4: Simplify right side
    447,993x = 950,075,179,524
  5. Step 5: Solve for x
    x = 950,075,179,524/447,993
  6. Step 6: Final answer
    x = 2,120,736.66

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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.