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Finding the Third Proportional to 1,583,826 and 2,151,819

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Solution

The third proportional to 1,583,826 and 2,151,819 is: 2,923,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,826 : 2,151,819 = 2,151,819 : x
  2. Step 2: Convert to fraction form
    1,583,826/2,151,819 = 2,151,819/x
  3. Step 3: Cross multiply
    1,583,826x = 2,151,819 × 2,151,819
  4. Step 4: Simplify right side
    1,583,826x = 4,630,325,008,761
  5. Step 5: Solve for x
    x = 4,630,325,008,761/1,583,826
  6. Step 6: Final answer
    x = 2,923,506.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.