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Finding the Third Proportional to 479,614,157 and 1,049,635,824

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Solution

The third proportional to 479,614,157 and 1,049,635,824 is: 2,297,128,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,614,157 : 1,049,635,824 = 1,049,635,824 : x
  2. Step 2: Convert to fraction form
    479,614,157/1,049,635,824 = 1,049,635,824/x
  3. Step 3: Cross multiply
    479,614,157x = 1,049,635,824 × 1,049,635,824
  4. Step 4: Simplify right side
    479,614,157x = 1,101,735,363,024,158,976
  5. Step 5: Solve for x
    x = 1,101,735,363,024,158,976/479,614,157
  6. Step 6: Final answer
    x = 2,297,128,529.14

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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.