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Finding the Third Proportional to 438,112.13 and 941,665.50

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Solution

The third proportional to 438,112.13 and 941,665.50 is: 2,023,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,112.13 : 941,665.50 = 941,665.50 : x
  2. Step 2: Convert to fraction form
    438,112.13/941,665.50 = 941,665.50/x
  3. Step 3: Cross multiply
    438,112.13x = 941,665.50 × 941,665.50
  4. Step 4: Simplify right side
    438,112.13x = 886,733,913,890.25
  5. Step 5: Solve for x
    x = 886,733,913,890.25/438,112.13
  6. Step 6: Final answer
    x = 2,023,988.53

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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.