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Finding the Third Proportional to 538,370 and 1,182,878

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Solution

The third proportional to 538,370 and 1,182,878 is: 2,598,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,370 : 1,182,878 = 1,182,878 : x
  2. Step 2: Convert to fraction form
    538,370/1,182,878 = 1,182,878/x
  3. Step 3: Cross multiply
    538,370x = 1,182,878 × 1,182,878
  4. Step 4: Simplify right side
    538,370x = 1,399,200,362,884
  5. Step 5: Solve for x
    x = 1,399,200,362,884/538,370
  6. Step 6: Final answer
    x = 2,598,956.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.