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Finding the Third Proportional to 609,546 and 1,401,874.50

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Solution

The third proportional to 609,546 and 1,401,874.50 is: 3,224,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,546 : 1,401,874.50 = 1,401,874.50 : x
  2. Step 2: Convert to fraction form
    609,546/1,401,874.50 = 1,401,874.50/x
  3. Step 3: Cross multiply
    609,546x = 1,401,874.50 × 1,401,874.50
  4. Step 4: Simplify right side
    609,546x = 1,965,252,113,750.25
  5. Step 5: Solve for x
    x = 1,965,252,113,750.25/609,546
  6. Step 6: Final answer
    x = 3,224,124.37

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.