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Finding the Third Proportional to 684,508,086 and 1,494,450,828

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Solution

The third proportional to 684,508,086 and 1,494,450,828 is: 3,262,756,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,508,086 : 1,494,450,828 = 1,494,450,828 : x
  2. Step 2: Convert to fraction form
    684,508,086/1,494,450,828 = 1,494,450,828/x
  3. Step 3: Cross multiply
    684,508,086x = 1,494,450,828 × 1,494,450,828
  4. Step 4: Simplify right side
    684,508,086x = 2,233,383,277,309,885,696
  5. Step 5: Solve for x
    x = 2,233,383,277,309,885,696/684,508,086
  6. Step 6: Final answer
    x = 3,262,756,602.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.