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Finding the Third Proportional to 1,140,538 and 1,594,538

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Solution

The third proportional to 1,140,538 and 1,594,538 is: 2,229,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,538 : 1,594,538 = 1,594,538 : x
  2. Step 2: Convert to fraction form
    1,140,538/1,594,538 = 1,594,538/x
  3. Step 3: Cross multiply
    1,140,538x = 1,594,538 × 1,594,538
  4. Step 4: Simplify right side
    1,140,538x = 2,542,551,433,444
  5. Step 5: Solve for x
    x = 2,542,551,433,444/1,140,538
  6. Step 6: Final answer
    x = 2,229,256.22

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