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Finding the Third Proportional to 445,613 and 962,246

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Solution

The third proportional to 445,613 and 962,246 is: 2,077,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,613 : 962,246 = 962,246 : x
  2. Step 2: Convert to fraction form
    445,613/962,246 = 962,246/x
  3. Step 3: Cross multiply
    445,613x = 962,246 × 962,246
  4. Step 4: Simplify right side
    445,613x = 925,917,364,516
  5. Step 5: Solve for x
    x = 925,917,364,516/445,613
  6. Step 6: Final answer
    x = 2,077,850.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.