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Finding the Third Proportional to 1,480,369.50 and 2,214,614.25

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Solution

The third proportional to 1,480,369.50 and 2,214,614.25 is: 3,313,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,369.50 : 2,214,614.25 = 2,214,614.25 : x
  2. Step 2: Convert to fraction form
    1,480,369.50/2,214,614.25 = 2,214,614.25/x
  3. Step 3: Cross multiply
    1,480,369.50x = 2,214,614.25 × 2,214,614.25
  4. Step 4: Simplify right side
    1,480,369.50x = 4,904,516,276,303.06
  5. Step 5: Solve for x
    x = 4,904,516,276,303.06/1,480,369.50
  6. Step 6: Final answer
    x = 3,313,035.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.