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Finding the Third Proportional to 684,614 and 1,526,640

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Solution

The third proportional to 684,614 and 1,526,640 is: 3,404,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,614 : 1,526,640 = 1,526,640 : x
  2. Step 2: Convert to fraction form
    684,614/1,526,640 = 1,526,640/x
  3. Step 3: Cross multiply
    684,614x = 1,526,640 × 1,526,640
  4. Step 4: Simplify right side
    684,614x = 2,330,629,689,600
  5. Step 5: Solve for x
    x = 2,330,629,689,600/684,614
  6. Step 6: Final answer
    x = 3,404,297.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.