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Finding the Third Proportional to 481,525 and 1,037,050

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Solution

The third proportional to 481,525 and 1,037,050 is: 2,233,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,525 : 1,037,050 = 1,037,050 : x
  2. Step 2: Convert to fraction form
    481,525/1,037,050 = 1,037,050/x
  3. Step 3: Cross multiply
    481,525x = 1,037,050 × 1,037,050
  4. Step 4: Simplify right side
    481,525x = 1,075,472,702,500
  5. Step 5: Solve for x
    x = 1,075,472,702,500/481,525
  6. Step 6: Final answer
    x = 2,233,472.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.