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Finding the Third Proportional to 1,698,284 and 2,727,016

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Solution

The third proportional to 1,698,284 and 2,727,016 is: 4,378,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,284 : 2,727,016 = 2,727,016 : x
  2. Step 2: Convert to fraction form
    1,698,284/2,727,016 = 2,727,016/x
  3. Step 3: Cross multiply
    1,698,284x = 2,727,016 × 2,727,016
  4. Step 4: Simplify right side
    1,698,284x = 7,436,616,264,256
  5. Step 5: Solve for x
    x = 7,436,616,264,256/1,698,284
  6. Step 6: Final answer
    x = 4,378,900.27

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.