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Finding the Third Proportional to 1,686,893 and 3,673,284

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Solution

The third proportional to 1,686,893 and 3,673,284 is: 7,998,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,893 : 3,673,284 = 3,673,284 : x
  2. Step 2: Convert to fraction form
    1,686,893/3,673,284 = 3,673,284/x
  3. Step 3: Cross multiply
    1,686,893x = 3,673,284 × 3,673,284
  4. Step 4: Simplify right side
    1,686,893x = 13,493,015,344,656
  5. Step 5: Solve for x
    x = 13,493,015,344,656/1,686,893
  6. Step 6: Final answer
    x = 7,998,738.12

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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.