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Finding the Third Proportional to 910,150 and 1,413,181

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Solution

The third proportional to 910,150 and 1,413,181 is: 2,194,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,150 : 1,413,181 = 1,413,181 : x
  2. Step 2: Convert to fraction form
    910,150/1,413,181 = 1,413,181/x
  3. Step 3: Cross multiply
    910,150x = 1,413,181 × 1,413,181
  4. Step 4: Simplify right side
    910,150x = 1,997,080,538,761
  5. Step 5: Solve for x
    x = 1,997,080,538,761/910,150
  6. Step 6: Final answer
    x = 2,194,232.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.