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Finding the Third Proportional to 467,122.50 and 1,011,722.06

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Solution

The third proportional to 467,122.50 and 1,011,722.06 is: 2,191,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,122.50 : 1,011,722.06 = 1,011,722.06 : x
  2. Step 2: Convert to fraction form
    467,122.50/1,011,722.06 = 1,011,722.06/x
  3. Step 3: Cross multiply
    467,122.50x = 1,011,722.06 × 1,011,722.06
  4. Step 4: Simplify right side
    467,122.50x = 1,023,581,531,749.25
  5. Step 5: Solve for x
    x = 1,023,581,531,749.25/467,122.50
  6. Step 6: Final answer
    x = 2,191,248.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.