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Finding the Third Proportional to 1,699,344 and 3,707,856

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Solution

The third proportional to 1,699,344 and 3,707,856 is: 8,090,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,344 : 3,707,856 = 3,707,856 : x
  2. Step 2: Convert to fraction form
    1,699,344/3,707,856 = 3,707,856/x
  3. Step 3: Cross multiply
    1,699,344x = 3,707,856 × 3,707,856
  4. Step 4: Simplify right side
    1,699,344x = 13,748,196,116,736
  5. Step 5: Solve for x
    x = 13,748,196,116,736/1,699,344
  6. Step 6: Final answer
    x = 8,090,296.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.