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Finding the Third Proportional to 1,366,960 and 3,164,536

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Solution

The third proportional to 1,366,960 and 3,164,536 is: 7,325,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,960 : 3,164,536 = 3,164,536 : x
  2. Step 2: Convert to fraction form
    1,366,960/3,164,536 = 3,164,536/x
  3. Step 3: Cross multiply
    1,366,960x = 3,164,536 × 3,164,536
  4. Step 4: Simplify right side
    1,366,960x = 10,014,288,095,296
  5. Step 5: Solve for x
    x = 10,014,288,095,296/1,366,960
  6. Step 6: Final answer
    x = 7,325,955.47

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.