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Finding the Third Proportional to 819,052,884 and 1,158,934,716

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Solution

The third proportional to 819,052,884 and 1,158,934,716 is: 1,639,857,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,052,884 : 1,158,934,716 = 1,158,934,716 : x
  2. Step 2: Convert to fraction form
    819,052,884/1,158,934,716 = 1,158,934,716/x
  3. Step 3: Cross multiply
    819,052,884x = 1,158,934,716 × 1,158,934,716
  4. Step 4: Simplify right side
    819,052,884x = 1,343,129,675,950,000,640
  5. Step 5: Solve for x
    x = 1,343,129,675,950,000,640/819,052,884
  6. Step 6: Final answer
    x = 1,639,857,086.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.