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Finding the Third Proportional to 1,062,097.31 and 1,601,962.31

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Solution

The third proportional to 1,062,097.31 and 1,601,962.31 is: 2,416,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,097.31 : 1,601,962.31 = 1,601,962.31 : x
  2. Step 2: Convert to fraction form
    1,062,097.31/1,601,962.31 = 1,601,962.31/x
  3. Step 3: Cross multiply
    1,062,097.31x = 1,601,962.31 × 1,601,962.31
  4. Step 4: Simplify right side
    1,062,097.31x = 2,566,283,250,670.35
  5. Step 5: Solve for x
    x = 2,566,283,250,670.35/1,062,097.31
  6. Step 6: Final answer
    x = 2,416,241.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.