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Finding the Third Proportional to 559,633,530 and 1,197,882,269

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Solution

The third proportional to 559,633,530 and 1,197,882,269 is: 2,564,038,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,633,530 : 1,197,882,269 = 1,197,882,269 : x
  2. Step 2: Convert to fraction form
    559,633,530/1,197,882,269 = 1,197,882,269/x
  3. Step 3: Cross multiply
    559,633,530x = 1,197,882,269 × 1,197,882,269
  4. Step 4: Simplify right side
    559,633,530x = 1,434,921,930,384,588,288
  5. Step 5: Solve for x
    x = 1,434,921,930,384,588,288/559,633,530
  6. Step 6: Final answer
    x = 2,564,038,524.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.