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Finding the Third Proportional to 479,904 and 1,050,195

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Solution

The third proportional to 479,904 and 1,050,195 is: 2,298,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,904 : 1,050,195 = 1,050,195 : x
  2. Step 2: Convert to fraction form
    479,904/1,050,195 = 1,050,195/x
  3. Step 3: Cross multiply
    479,904x = 1,050,195 × 1,050,195
  4. Step 4: Simplify right side
    479,904x = 1,102,909,538,025
  5. Step 5: Solve for x
    x = 1,102,909,538,025/479,904
  6. Step 6: Final answer
    x = 2,298,187.84

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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.