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Finding the Third Proportional to 1,684,538 and 3,684,004

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Solution

The third proportional to 1,684,538 and 3,684,004 is: 8,056,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,538 : 3,684,004 = 3,684,004 : x
  2. Step 2: Convert to fraction form
    1,684,538/3,684,004 = 3,684,004/x
  3. Step 3: Cross multiply
    1,684,538x = 3,684,004 × 3,684,004
  4. Step 4: Simplify right side
    1,684,538x = 13,571,885,472,016
  5. Step 5: Solve for x
    x = 13,571,885,472,016/1,684,538
  6. Step 6: Final answer
    x = 8,056,740.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.