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Finding the Third Proportional to 478,993.50 and 1,023,030

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Solution

The third proportional to 478,993.50 and 1,023,030 is: 2,184,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,993.50 : 1,023,030 = 1,023,030 : x
  2. Step 2: Convert to fraction form
    478,993.50/1,023,030 = 1,023,030/x
  3. Step 3: Cross multiply
    478,993.50x = 1,023,030 × 1,023,030
  4. Step 4: Simplify right side
    478,993.50x = 1,046,590,380,900
  5. Step 5: Solve for x
    x = 1,046,590,380,900/478,993.50
  6. Step 6: Final answer
    x = 2,184,978.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.