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Finding the Third Proportional to 908,268,858 and 1,988,488,296

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Solution

The third proportional to 908,268,858 and 1,988,488,296 is: 4,353,430,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,268,858 : 1,988,488,296 = 1,988,488,296 : x
  2. Step 2: Convert to fraction form
    908,268,858/1,988,488,296 = 1,988,488,296/x
  3. Step 3: Cross multiply
    908,268,858x = 1,988,488,296 × 1,988,488,296
  4. Step 4: Simplify right side
    908,268,858x = 3,954,085,703,328,983,552
  5. Step 5: Solve for x
    x = 3,954,085,703,328,983,552/908,268,858
  6. Step 6: Final answer
    x = 4,353,430,890.54

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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.