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Finding the Third Proportional to 540,000 and 1,166,629.50

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Solution

The third proportional to 540,000 and 1,166,629.50 is: 2,520,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,000 : 1,166,629.50 = 1,166,629.50 : x
  2. Step 2: Convert to fraction form
    540,000/1,166,629.50 = 1,166,629.50/x
  3. Step 3: Cross multiply
    540,000x = 1,166,629.50 × 1,166,629.50
  4. Step 4: Simplify right side
    540,000x = 1,361,024,390,270.25
  5. Step 5: Solve for x
    x = 1,361,024,390,270.25/540,000
  6. Step 6: Final answer
    x = 2,520,415.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.