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Finding the Third Proportional to 823,090 and 1,092,426

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Solution

The third proportional to 823,090 and 1,092,426 is: 1,449,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,090 : 1,092,426 = 1,092,426 : x
  2. Step 2: Convert to fraction form
    823,090/1,092,426 = 1,092,426/x
  3. Step 3: Cross multiply
    823,090x = 1,092,426 × 1,092,426
  4. Step 4: Simplify right side
    823,090x = 1,193,394,565,476
  5. Step 5: Solve for x
    x = 1,193,394,565,476/823,090
  6. Step 6: Final answer
    x = 1,449,895.60

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.