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Finding the Third Proportional to 486,212 and 1,050,184

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Solution

The third proportional to 486,212 and 1,050,184 is: 2,268,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,212 : 1,050,184 = 1,050,184 : x
  2. Step 2: Convert to fraction form
    486,212/1,050,184 = 1,050,184/x
  3. Step 3: Cross multiply
    486,212x = 1,050,184 × 1,050,184
  4. Step 4: Simplify right side
    486,212x = 1,102,886,433,856
  5. Step 5: Solve for x
    x = 1,102,886,433,856/486,212
  6. Step 6: Final answer
    x = 2,268,324.18

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