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Finding the Third Proportional to 454,135.50 and 1,070,525.25

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Solution

The third proportional to 454,135.50 and 1,070,525.25 is: 2,523,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,135.50 : 1,070,525.25 = 1,070,525.25 : x
  2. Step 2: Convert to fraction form
    454,135.50/1,070,525.25 = 1,070,525.25/x
  3. Step 3: Cross multiply
    454,135.50x = 1,070,525.25 × 1,070,525.25
  4. Step 4: Simplify right side
    454,135.50x = 1,146,024,310,887.56
  5. Step 5: Solve for x
    x = 1,146,024,310,887.56/454,135.50
  6. Step 6: Final answer
    x = 2,523,529.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.