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Finding the Third Proportional to 413,899,158 and 649,286,544

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Solution

The third proportional to 413,899,158 and 649,286,544 is: 1,018,540,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,899,158 : 649,286,544 = 649,286,544 : x
  2. Step 2: Convert to fraction form
    413,899,158/649,286,544 = 649,286,544/x
  3. Step 3: Cross multiply
    413,899,158x = 649,286,544 × 649,286,544
  4. Step 4: Simplify right side
    413,899,158x = 421,573,016,219,463,936
  5. Step 5: Solve for x
    x = 421,573,016,219,463,936/413,899,158
  6. Step 6: Final answer
    x = 1,018,540,405.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.