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Finding the Third Proportional to 525,750 and 1,140,075

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Solution

The third proportional to 525,750 and 1,140,075 is: 2,472,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,750 : 1,140,075 = 1,140,075 : x
  2. Step 2: Convert to fraction form
    525,750/1,140,075 = 1,140,075/x
  3. Step 3: Cross multiply
    525,750x = 1,140,075 × 1,140,075
  4. Step 4: Simplify right side
    525,750x = 1,299,771,005,625
  5. Step 5: Solve for x
    x = 1,299,771,005,625/525,750
  6. Step 6: Final answer
    x = 2,472,222.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.