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Finding the Third Proportional to 796,394 and 1,233,111

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Solution

The third proportional to 796,394 and 1,233,111 is: 1,909,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,394 : 1,233,111 = 1,233,111 : x
  2. Step 2: Convert to fraction form
    796,394/1,233,111 = 1,233,111/x
  3. Step 3: Cross multiply
    796,394x = 1,233,111 × 1,233,111
  4. Step 4: Simplify right side
    796,394x = 1,520,562,738,321
  5. Step 5: Solve for x
    x = 1,520,562,738,321/796,394
  6. Step 6: Final answer
    x = 1,909,309.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.