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Finding the Third Proportional to 1,418,025 and 2,122,077

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Solution

The third proportional to 1,418,025 and 2,122,077 is: 3,175,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,025 : 2,122,077 = 2,122,077 : x
  2. Step 2: Convert to fraction form
    1,418,025/2,122,077 = 2,122,077/x
  3. Step 3: Cross multiply
    1,418,025x = 2,122,077 × 2,122,077
  4. Step 4: Simplify right side
    1,418,025x = 4,503,210,793,929
  5. Step 5: Solve for x
    x = 4,503,210,793,929/1,418,025
  6. Step 6: Final answer
    x = 3,175,692.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.