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Finding the Third Proportional to 825,230,135 and 1,234,573,513

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Solution

The third proportional to 825,230,135 and 1,234,573,513 is: 1,846,965,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,230,135 : 1,234,573,513 = 1,234,573,513 : x
  2. Step 2: Convert to fraction form
    825,230,135/1,234,573,513 = 1,234,573,513/x
  3. Step 3: Cross multiply
    825,230,135x = 1,234,573,513 × 1,234,573,513
  4. Step 4: Simplify right side
    825,230,135x = 1,524,171,759,001,161,216
  5. Step 5: Solve for x
    x = 1,524,171,759,001,161,216/825,230,135
  6. Step 6: Final answer
    x = 1,846,965,706.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.