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Finding the Third Proportional to 908,532,741 and 1,972,122,734

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Solution

The third proportional to 908,532,741 and 1,972,122,734 is: 4,280,823,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,532,741 : 1,972,122,734 = 1,972,122,734 : x
  2. Step 2: Convert to fraction form
    908,532,741/1,972,122,734 = 1,972,122,734/x
  3. Step 3: Cross multiply
    908,532,741x = 1,972,122,734 × 1,972,122,734
  4. Step 4: Simplify right side
    908,532,741x = 3,889,268,077,959,634,944
  5. Step 5: Solve for x
    x = 3,889,268,077,959,634,944/908,532,741
  6. Step 6: Final answer
    x = 4,280,823,246.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.