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Finding the Third Proportional to 397,688,162 and 864,214,570

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Solution

The third proportional to 397,688,162 and 864,214,570 is: 1,878,021,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,688,162 : 864,214,570 = 864,214,570 : x
  2. Step 2: Convert to fraction form
    397,688,162/864,214,570 = 864,214,570/x
  3. Step 3: Cross multiply
    397,688,162x = 864,214,570 × 864,214,570
  4. Step 4: Simplify right side
    397,688,162x = 746,866,823,000,284,928
  5. Step 5: Solve for x
    x = 746,866,823,000,284,928/397,688,162
  6. Step 6: Final answer
    x = 1,878,021,259.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.