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Finding the Third Proportional to 482,247 and 1,050,214

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Solution

The third proportional to 482,247 and 1,050,214 is: 2,287,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,247 : 1,050,214 = 1,050,214 : x
  2. Step 2: Convert to fraction form
    482,247/1,050,214 = 1,050,214/x
  3. Step 3: Cross multiply
    482,247x = 1,050,214 × 1,050,214
  4. Step 4: Simplify right side
    482,247x = 1,102,949,445,796
  5. Step 5: Solve for x
    x = 1,102,949,445,796/482,247
  6. Step 6: Final answer
    x = 2,287,104.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.