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Finding the Third Proportional to 539,382,816 and 1,183,753,920

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Solution

The third proportional to 539,382,816 and 1,183,753,920 is: 2,597,919,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,382,816 : 1,183,753,920 = 1,183,753,920 : x
  2. Step 2: Convert to fraction form
    539,382,816/1,183,753,920 = 1,183,753,920/x
  3. Step 3: Cross multiply
    539,382,816x = 1,183,753,920 × 1,183,753,920
  4. Step 4: Simplify right side
    539,382,816x = 1,401,273,343,115,366,400
  5. Step 5: Solve for x
    x = 1,401,273,343,115,366,400/539,382,816
  6. Step 6: Final answer
    x = 2,597,919,884.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.