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Finding the Third Proportional to 818,629.88 and 1,749,478.50

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Solution

The third proportional to 818,629.88 and 1,749,478.50 is: 3,738,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,629.88 : 1,749,478.50 = 1,749,478.50 : x
  2. Step 2: Convert to fraction form
    818,629.88/1,749,478.50 = 1,749,478.50/x
  3. Step 3: Cross multiply
    818,629.88x = 1,749,478.50 × 1,749,478.50
  4. Step 4: Simplify right side
    818,629.88x = 3,060,675,021,962.25
  5. Step 5: Solve for x
    x = 3,060,675,021,962.25/818,629.88
  6. Step 6: Final answer
    x = 3,738,777.58

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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.