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Finding the Third Proportional to 1,081,614 and 1,696,656

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Solution

The third proportional to 1,081,614 and 1,696,656 is: 2,661,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,614 : 1,696,656 = 1,696,656 : x
  2. Step 2: Convert to fraction form
    1,081,614/1,696,656 = 1,696,656/x
  3. Step 3: Cross multiply
    1,081,614x = 1,696,656 × 1,696,656
  4. Step 4: Simplify right side
    1,081,614x = 2,878,641,582,336
  5. Step 5: Solve for x
    x = 2,878,641,582,336/1,081,614
  6. Step 6: Final answer
    x = 2,661,431.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.