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Finding the Third Proportional to 1,706,359.50 and 3,622,671

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Solution

The third proportional to 1,706,359.50 and 3,622,671 is: 7,691,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,359.50 : 3,622,671 = 3,622,671 : x
  2. Step 2: Convert to fraction form
    1,706,359.50/3,622,671 = 3,622,671/x
  3. Step 3: Cross multiply
    1,706,359.50x = 3,622,671 × 3,622,671
  4. Step 4: Simplify right side
    1,706,359.50x = 13,123,745,174,241
  5. Step 5: Solve for x
    x = 13,123,745,174,241/1,706,359.50
  6. Step 6: Final answer
    x = 7,691,078.68

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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.