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Finding the Third Proportional to 1,140,523.88 and 1,594,522.13

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Solution

The third proportional to 1,140,523.88 and 1,594,522.13 is: 2,229,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,523.88 : 1,594,522.13 = 1,594,522.13 : x
  2. Step 2: Convert to fraction form
    1,140,523.88/1,594,522.13 = 1,594,522.13/x
  3. Step 3: Cross multiply
    1,140,523.88x = 1,594,522.13 × 1,594,522.13
  4. Step 4: Simplify right side
    1,140,523.88x = 2,542,500,807,114.52
  5. Step 5: Solve for x
    x = 2,542,500,807,114.52/1,140,523.88
  6. Step 6: Final answer
    x = 2,229,239.44

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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.