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Finding the Third Proportional to 446,669 and 967,138

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Solution

The third proportional to 446,669 and 967,138 is: 2,094,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,669 : 967,138 = 967,138 : x
  2. Step 2: Convert to fraction form
    446,669/967,138 = 967,138/x
  3. Step 3: Cross multiply
    446,669x = 967,138 × 967,138
  4. Step 4: Simplify right side
    446,669x = 935,355,911,044
  5. Step 5: Solve for x
    x = 935,355,911,044/446,669
  6. Step 6: Final answer
    x = 2,094,069.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.