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Finding the Third Proportional to 445,679 and 975,571

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Solution

The third proportional to 445,679 and 975,571 is: 2,135,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,679 : 975,571 = 975,571 : x
  2. Step 2: Convert to fraction form
    445,679/975,571 = 975,571/x
  3. Step 3: Cross multiply
    445,679x = 975,571 × 975,571
  4. Step 4: Simplify right side
    445,679x = 951,738,776,041
  5. Step 5: Solve for x
    x = 951,738,776,041/445,679
  6. Step 6: Final answer
    x = 2,135,480.42

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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.