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Finding the Third Proportional to 549,876 and 1,150,030

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Solution

The third proportional to 549,876 and 1,150,030 is: 2,405,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,876 : 1,150,030 = 1,150,030 : x
  2. Step 2: Convert to fraction form
    549,876/1,150,030 = 1,150,030/x
  3. Step 3: Cross multiply
    549,876x = 1,150,030 × 1,150,030
  4. Step 4: Simplify right side
    549,876x = 1,322,569,000,900
  5. Step 5: Solve for x
    x = 1,322,569,000,900/549,876
  6. Step 6: Final answer
    x = 2,405,213.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.