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Finding the Third Proportional to 1,422,284 and 2,161,072

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Solution

The third proportional to 1,422,284 and 2,161,072 is: 3,283,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,284 : 2,161,072 = 2,161,072 : x
  2. Step 2: Convert to fraction form
    1,422,284/2,161,072 = 2,161,072/x
  3. Step 3: Cross multiply
    1,422,284x = 2,161,072 × 2,161,072
  4. Step 4: Simplify right side
    1,422,284x = 4,670,232,189,184
  5. Step 5: Solve for x
    x = 4,670,232,189,184/1,422,284
  6. Step 6: Final answer
    x = 3,283,614.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.