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Finding the Third Proportional to 448,933,084 and 1,048,910,247

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Solution

The third proportional to 448,933,084 and 1,048,910,247 is: 2,450,727,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,933,084 : 1,048,910,247 = 1,048,910,247 : x
  2. Step 2: Convert to fraction form
    448,933,084/1,048,910,247 = 1,048,910,247/x
  3. Step 3: Cross multiply
    448,933,084x = 1,048,910,247 × 1,048,910,247
  4. Step 4: Simplify right side
    448,933,084x = 1,100,212,706,261,601,024
  5. Step 5: Solve for x
    x = 1,100,212,706,261,601,024/448,933,084
  6. Step 6: Final answer
    x = 2,450,727,615.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.