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Finding the Third Proportional to 2,114,524 and 3,404,706

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Solution

The third proportional to 2,114,524 and 3,404,706 is: 5,482,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,524 : 3,404,706 = 3,404,706 : x
  2. Step 2: Convert to fraction form
    2,114,524/3,404,706 = 3,404,706/x
  3. Step 3: Cross multiply
    2,114,524x = 3,404,706 × 3,404,706
  4. Step 4: Simplify right side
    2,114,524x = 11,592,022,946,436
  5. Step 5: Solve for x
    x = 11,592,022,946,436/2,114,524
  6. Step 6: Final answer
    x = 5,482,095.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.