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Finding the Third Proportional to 1,131,250.50 and 1,582,398

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Solution

The third proportional to 1,131,250.50 and 1,582,398 is: 2,213,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,250.50 : 1,582,398 = 1,582,398 : x
  2. Step 2: Convert to fraction form
    1,131,250.50/1,582,398 = 1,582,398/x
  3. Step 3: Cross multiply
    1,131,250.50x = 1,582,398 × 1,582,398
  4. Step 4: Simplify right side
    1,131,250.50x = 2,503,983,430,404
  5. Step 5: Solve for x
    x = 2,503,983,430,404/1,131,250.50
  6. Step 6: Final answer
    x = 2,213,465.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.