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Finding the Third Proportional to 819,052,938 and 1,158,934,797

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Solution

The third proportional to 819,052,938 and 1,158,934,797 is: 1,639,857,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,052,938 : 1,158,934,797 = 1,158,934,797 : x
  2. Step 2: Convert to fraction form
    819,052,938/1,158,934,797 = 1,158,934,797/x
  3. Step 3: Cross multiply
    819,052,938x = 1,158,934,797 × 1,158,934,797
  4. Step 4: Simplify right side
    819,052,938x = 1,343,129,863,697,431,296
  5. Step 5: Solve for x
    x = 1,343,129,863,697,431,296/819,052,938
  6. Step 6: Final answer
    x = 1,639,857,207.49

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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.