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Finding the Third Proportional to 448,932 and 969,078

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Solution

The third proportional to 448,932 and 969,078 is: 2,091,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,932 : 969,078 = 969,078 : x
  2. Step 2: Convert to fraction form
    448,932/969,078 = 969,078/x
  3. Step 3: Cross multiply
    448,932x = 969,078 × 969,078
  4. Step 4: Simplify right side
    448,932x = 939,112,170,084
  5. Step 5: Solve for x
    x = 939,112,170,084/448,932
  6. Step 6: Final answer
    x = 2,091,880.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.