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Finding the Third Proportional to 468,114.75 and 1,015,578

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Solution

The third proportional to 468,114.75 and 1,015,578 is: 2,203,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,114.75 : 1,015,578 = 1,015,578 : x
  2. Step 2: Convert to fraction form
    468,114.75/1,015,578 = 1,015,578/x
  3. Step 3: Cross multiply
    468,114.75x = 1,015,578 × 1,015,578
  4. Step 4: Simplify right side
    468,114.75x = 1,031,398,674,084
  5. Step 5: Solve for x
    x = 1,031,398,674,084/468,114.75
  6. Step 6: Final answer
    x = 2,203,303.09

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Why These Related Problems?

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