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Finding the Third Proportional to 515,968.31 and 1,214,041.92

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Solution

The third proportional to 515,968.31 and 1,214,041.92 is: 2,856,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,968.31 : 1,214,041.92 = 1,214,041.92 : x
  2. Step 2: Convert to fraction form
    515,968.31/1,214,041.92 = 1,214,041.92/x
  3. Step 3: Cross multiply
    515,968.31x = 1,214,041.92 × 1,214,041.92
  4. Step 4: Simplify right side
    515,968.31x = 1,473,897,788,069.94
  5. Step 5: Solve for x
    x = 1,473,897,788,069.94/515,968.31
  6. Step 6: Final answer
    x = 2,856,566.48

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.