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Finding the Third Proportional to 1,662,696 and 3,584,844

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Solution

The third proportional to 1,662,696 and 3,584,844 is: 7,729,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,696 : 3,584,844 = 3,584,844 : x
  2. Step 2: Convert to fraction form
    1,662,696/3,584,844 = 3,584,844/x
  3. Step 3: Cross multiply
    1,662,696x = 3,584,844 × 3,584,844
  4. Step 4: Simplify right side
    1,662,696x = 12,851,106,504,336
  5. Step 5: Solve for x
    x = 12,851,106,504,336/1,662,696
  6. Step 6: Final answer
    x = 7,729,077.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.