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Finding the Third Proportional to 947,436.50 and 2,072,024.50

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Solution

The third proportional to 947,436.50 and 2,072,024.50 is: 4,531,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,436.50 : 2,072,024.50 = 2,072,024.50 : x
  2. Step 2: Convert to fraction form
    947,436.50/2,072,024.50 = 2,072,024.50/x
  3. Step 3: Cross multiply
    947,436.50x = 2,072,024.50 × 2,072,024.50
  4. Step 4: Simplify right side
    947,436.50x = 4,293,285,528,600.25
  5. Step 5: Solve for x
    x = 4,293,285,528,600.25/947,436.50
  6. Step 6: Final answer
    x = 4,531,475.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.