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Finding the Third Proportional to 2,707,290 and 5,779,917

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Solution

The third proportional to 2,707,290 and 5,779,917 is: 12,339,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,290 : 5,779,917 = 5,779,917 : x
  2. Step 2: Convert to fraction form
    2,707,290/5,779,917 = 5,779,917/x
  3. Step 3: Cross multiply
    2,707,290x = 5,779,917 × 5,779,917
  4. Step 4: Simplify right side
    2,707,290x = 33,407,440,526,889
  5. Step 5: Solve for x
    x = 33,407,440,526,889/2,707,290
  6. Step 6: Final answer
    x = 12,339,808.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.