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Finding the Third Proportional to 741,656 and 1,588,288

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Solution

The third proportional to 741,656 and 1,588,288 is: 3,401,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,656 : 1,588,288 = 1,588,288 : x
  2. Step 2: Convert to fraction form
    741,656/1,588,288 = 1,588,288/x
  3. Step 3: Cross multiply
    741,656x = 1,588,288 × 1,588,288
  4. Step 4: Simplify right side
    741,656x = 2,522,658,770,944
  5. Step 5: Solve for x
    x = 2,522,658,770,944/741,656
  6. Step 6: Final answer
    x = 3,401,386.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.