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Finding the Third Proportional to 1,140,734 and 1,594,911

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Solution

The third proportional to 1,140,734 and 1,594,911 is: 2,229,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,734 : 1,594,911 = 1,594,911 : x
  2. Step 2: Convert to fraction form
    1,140,734/1,594,911 = 1,594,911/x
  3. Step 3: Cross multiply
    1,140,734x = 1,594,911 × 1,594,911
  4. Step 4: Simplify right side
    1,140,734x = 2,543,741,097,921
  5. Step 5: Solve for x
    x = 2,543,741,097,921/1,140,734
  6. Step 6: Final answer
    x = 2,229,916.09

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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.