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Finding the Third Proportional to 1,686,890 and 3,673,278

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Solution

The third proportional to 1,686,890 and 3,673,278 is: 7,998,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,890 : 3,673,278 = 3,673,278 : x
  2. Step 2: Convert to fraction form
    1,686,890/3,673,278 = 3,673,278/x
  3. Step 3: Cross multiply
    1,686,890x = 3,673,278 × 3,673,278
  4. Step 4: Simplify right side
    1,686,890x = 13,492,971,265,284
  5. Step 5: Solve for x
    x = 13,492,971,265,284/1,686,890
  6. Step 6: Final answer
    x = 7,998,726.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.