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Finding the Third Proportional to 1,775,474 and 3,834,706

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Solution

The third proportional to 1,775,474 and 3,834,706 is: 8,282,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,474 : 3,834,706 = 3,834,706 : x
  2. Step 2: Convert to fraction form
    1,775,474/3,834,706 = 3,834,706/x
  3. Step 3: Cross multiply
    1,775,474x = 3,834,706 × 3,834,706
  4. Step 4: Simplify right side
    1,775,474x = 14,704,970,106,436
  5. Step 5: Solve for x
    x = 14,704,970,106,436/1,775,474
  6. Step 6: Final answer
    x = 8,282,278.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.