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Finding the Third Proportional to 1,682,604 and 3,650,613

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Solution

The third proportional to 1,682,604 and 3,650,613 is: 7,920,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,604 : 3,650,613 = 3,650,613 : x
  2. Step 2: Convert to fraction form
    1,682,604/3,650,613 = 3,650,613/x
  3. Step 3: Cross multiply
    1,682,604x = 3,650,613 × 3,650,613
  4. Step 4: Simplify right side
    1,682,604x = 13,326,975,275,769
  5. Step 5: Solve for x
    x = 13,326,975,275,769/1,682,604
  6. Step 6: Final answer
    x = 7,920,446.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.