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Finding the Third Proportional to 493,431,676 and 1,097,157,486

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Solution

The third proportional to 493,431,676 and 1,097,157,486 is: 2,439,556,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,431,676 : 1,097,157,486 = 1,097,157,486 : x
  2. Step 2: Convert to fraction form
    493,431,676/1,097,157,486 = 1,097,157,486/x
  3. Step 3: Cross multiply
    493,431,676x = 1,097,157,486 × 1,097,157,486
  4. Step 4: Simplify right side
    493,431,676x = 1,203,754,549,085,840,128
  5. Step 5: Solve for x
    x = 1,203,754,549,085,840,128/493,431,676
  6. Step 6: Final answer
    x = 2,439,556,695.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.