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Finding the Third Proportional to 519,809,676 and 1,225,844,670

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Solution

The third proportional to 519,809,676 and 1,225,844,670 is: 2,890,856,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,809,676 : 1,225,844,670 = 1,225,844,670 : x
  2. Step 2: Convert to fraction form
    519,809,676/1,225,844,670 = 1,225,844,670/x
  3. Step 3: Cross multiply
    519,809,676x = 1,225,844,670 × 1,225,844,670
  4. Step 4: Simplify right side
    519,809,676x = 1,502,695,154,967,408,896
  5. Step 5: Solve for x
    x = 1,502,695,154,967,408,896/519,809,676
  6. Step 6: Final answer
    x = 2,890,856,450.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.