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Finding the Third Proportional to 445,716 and 953,636

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Solution

The third proportional to 445,716 and 953,636 is: 2,040,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,716 : 953,636 = 953,636 : x
  2. Step 2: Convert to fraction form
    445,716/953,636 = 953,636/x
  3. Step 3: Cross multiply
    445,716x = 953,636 × 953,636
  4. Step 4: Simplify right side
    445,716x = 909,421,620,496
  5. Step 5: Solve for x
    x = 909,421,620,496/445,716
  6. Step 6: Final answer
    x = 2,040,361.17

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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.