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Finding the Third Proportional to 528,449,296 and 1,105,082,576

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Solution

The third proportional to 528,449,296 and 1,105,082,576 is: 2,310,926,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,449,296 : 1,105,082,576 = 1,105,082,576 : x
  2. Step 2: Convert to fraction form
    528,449,296/1,105,082,576 = 1,105,082,576/x
  3. Step 3: Cross multiply
    528,449,296x = 1,105,082,576 × 1,105,082,576
  4. Step 4: Simplify right side
    528,449,296x = 1,221,207,499,778,795,776
  5. Step 5: Solve for x
    x = 1,221,207,499,778,795,776/528,449,296
  6. Step 6: Final answer
    x = 2,310,926,533.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.