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Finding the Third Proportional to 1,382,640 and 2,875,644

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Solution

The third proportional to 1,382,640 and 2,875,644 is: 5,980,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,640 : 2,875,644 = 2,875,644 : x
  2. Step 2: Convert to fraction form
    1,382,640/2,875,644 = 2,875,644/x
  3. Step 3: Cross multiply
    1,382,640x = 2,875,644 × 2,875,644
  4. Step 4: Simplify right side
    1,382,640x = 8,269,328,414,736
  5. Step 5: Solve for x
    x = 8,269,328,414,736/1,382,640
  6. Step 6: Final answer
    x = 5,980,825.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.