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Finding the Third Proportional to 762,437.25 and 1,642,968

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Solution

The third proportional to 762,437.25 and 1,642,968 is: 3,540,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,437.25 : 1,642,968 = 1,642,968 : x
  2. Step 2: Convert to fraction form
    762,437.25/1,642,968 = 1,642,968/x
  3. Step 3: Cross multiply
    762,437.25x = 1,642,968 × 1,642,968
  4. Step 4: Simplify right side
    762,437.25x = 2,699,343,849,024
  5. Step 5: Solve for x
    x = 2,699,343,849,024/762,437.25
  6. Step 6: Final answer
    x = 3,540,414.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.