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Finding the Third Proportional to 585,942,198 and 1,252,467,783

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Solution

The third proportional to 585,942,198 and 1,252,467,783 is: 2,677,184,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,942,198 : 1,252,467,783 = 1,252,467,783 : x
  2. Step 2: Convert to fraction form
    585,942,198/1,252,467,783 = 1,252,467,783/x
  3. Step 3: Cross multiply
    585,942,198x = 1,252,467,783 × 1,252,467,783
  4. Step 4: Simplify right side
    585,942,198x = 1,568,675,547,452,935,168
  5. Step 5: Solve for x
    x = 1,568,675,547,452,935,168/585,942,198
  6. Step 6: Final answer
    x = 2,677,184,802.20

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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.