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Finding the Third Proportional to 509,247 and 1,116,427.50

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Solution

The third proportional to 509,247 and 1,116,427.50 is: 2,447,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,247 : 1,116,427.50 = 1,116,427.50 : x
  2. Step 2: Convert to fraction form
    509,247/1,116,427.50 = 1,116,427.50/x
  3. Step 3: Cross multiply
    509,247x = 1,116,427.50 × 1,116,427.50
  4. Step 4: Simplify right side
    509,247x = 1,246,410,362,756.25
  5. Step 5: Solve for x
    x = 1,246,410,362,756.25/509,247
  6. Step 6: Final answer
    x = 2,447,555.63

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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.