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Finding the Third Proportional to 580,042 and 1,274,336

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Solution

The third proportional to 580,042 and 1,274,336 is: 2,799,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,042 : 1,274,336 = 1,274,336 : x
  2. Step 2: Convert to fraction form
    580,042/1,274,336 = 1,274,336/x
  3. Step 3: Cross multiply
    580,042x = 1,274,336 × 1,274,336
  4. Step 4: Simplify right side
    580,042x = 1,623,932,240,896
  5. Step 5: Solve for x
    x = 1,623,932,240,896/580,042
  6. Step 6: Final answer
    x = 2,799,680.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.