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Finding the Third Proportional to 1,384,226 and 2,965,284

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Solution

The third proportional to 1,384,226 and 2,965,284 is: 6,352,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,226 : 2,965,284 = 2,965,284 : x
  2. Step 2: Convert to fraction form
    1,384,226/2,965,284 = 2,965,284/x
  3. Step 3: Cross multiply
    1,384,226x = 2,965,284 × 2,965,284
  4. Step 4: Simplify right side
    1,384,226x = 8,792,909,200,656
  5. Step 5: Solve for x
    x = 8,792,909,200,656/1,384,226
  6. Step 6: Final answer
    x = 6,352,220.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.