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Finding the Third Proportional to 1,129,435 and 2,202,122

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Solution

The third proportional to 1,129,435 and 2,202,122 is: 4,293,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,435 : 2,202,122 = 2,202,122 : x
  2. Step 2: Convert to fraction form
    1,129,435/2,202,122 = 2,202,122/x
  3. Step 3: Cross multiply
    1,129,435x = 2,202,122 × 2,202,122
  4. Step 4: Simplify right side
    1,129,435x = 4,849,341,302,884
  5. Step 5: Solve for x
    x = 4,849,341,302,884/1,129,435
  6. Step 6: Final answer
    x = 4,293,599.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.