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Finding the Third Proportional to 741,807 and 1,588,590

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Solution

The third proportional to 741,807 and 1,588,590 is: 3,401,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,807 : 1,588,590 = 1,588,590 : x
  2. Step 2: Convert to fraction form
    741,807/1,588,590 = 1,588,590/x
  3. Step 3: Cross multiply
    741,807x = 1,588,590 × 1,588,590
  4. Step 4: Simplify right side
    741,807x = 2,523,618,188,100
  5. Step 5: Solve for x
    x = 2,523,618,188,100/741,807
  6. Step 6: Final answer
    x = 3,401,987.56

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Why These Related Problems?

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