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Finding the Third Proportional to 722,592 and 1,588,194

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Solution

The third proportional to 722,592 and 1,588,194 is: 3,490,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,592 : 1,588,194 = 1,588,194 : x
  2. Step 2: Convert to fraction form
    722,592/1,588,194 = 1,588,194/x
  3. Step 3: Cross multiply
    722,592x = 1,588,194 × 1,588,194
  4. Step 4: Simplify right side
    722,592x = 2,522,360,181,636
  5. Step 5: Solve for x
    x = 2,522,360,181,636/722,592
  6. Step 6: Final answer
    x = 3,490,711.47

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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.