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Finding the Third Proportional to 1,385,199 and 2,212,911

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Solution

The third proportional to 1,385,199 and 2,212,911 is: 3,535,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,199 : 2,212,911 = 2,212,911 : x
  2. Step 2: Convert to fraction form
    1,385,199/2,212,911 = 2,212,911/x
  3. Step 3: Cross multiply
    1,385,199x = 2,212,911 × 2,212,911
  4. Step 4: Simplify right side
    1,385,199x = 4,896,975,093,921
  5. Step 5: Solve for x
    x = 4,896,975,093,921/1,385,199
  6. Step 6: Final answer
    x = 3,535,214.14

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.