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Finding the Third Proportional to 445,662 and 953,532

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Solution

The third proportional to 445,662 and 953,532 is: 2,040,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,662 : 953,532 = 953,532 : x
  2. Step 2: Convert to fraction form
    445,662/953,532 = 953,532/x
  3. Step 3: Cross multiply
    445,662x = 953,532 × 953,532
  4. Step 4: Simplify right side
    445,662x = 909,223,275,024
  5. Step 5: Solve for x
    x = 909,223,275,024/445,662
  6. Step 6: Final answer
    x = 2,040,163.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.