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Finding the Third Proportional to 1,706,376 and 3,622,704

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Solution

The third proportional to 1,706,376 and 3,622,704 is: 7,691,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,376 : 3,622,704 = 3,622,704 : x
  2. Step 2: Convert to fraction form
    1,706,376/3,622,704 = 3,622,704/x
  3. Step 3: Cross multiply
    1,706,376x = 3,622,704 × 3,622,704
  4. Step 4: Simplify right side
    1,706,376x = 13,123,984,271,616
  5. Step 5: Solve for x
    x = 13,123,984,271,616/1,706,376
  6. Step 6: Final answer
    x = 7,691,144.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.