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Finding the Third Proportional to 913,800,243 and 1,412,618,673

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Solution

The third proportional to 913,800,243 and 1,412,618,673 is: 2,183,728,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,800,243 : 1,412,618,673 = 1,412,618,673 : x
  2. Step 2: Convert to fraction form
    913,800,243/1,412,618,673 = 1,412,618,673/x
  3. Step 3: Cross multiply
    913,800,243x = 1,412,618,673 × 1,412,618,673
  4. Step 4: Simplify right side
    913,800,243x = 1,995,491,515,308,280,832
  5. Step 5: Solve for x
    x = 1,995,491,515,308,280,832/913,800,243
  6. Step 6: Final answer
    x = 2,183,728,370.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.