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Finding the Third Proportional to 467,501.63 and 1,009,725.75

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Solution

The third proportional to 467,501.63 and 1,009,725.75 is: 2,180,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,501.63 : 1,009,725.75 = 1,009,725.75 : x
  2. Step 2: Convert to fraction form
    467,501.63/1,009,725.75 = 1,009,725.75/x
  3. Step 3: Cross multiply
    467,501.63x = 1,009,725.75 × 1,009,725.75
  4. Step 4: Simplify right side
    467,501.63x = 1,019,546,090,213.06
  5. Step 5: Solve for x
    x = 1,019,546,090,213.06/467,501.63
  6. Step 6: Final answer
    x = 2,180,839.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.