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Finding the Third Proportional to 894,305 and 1,916,578

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Solution

The third proportional to 894,305 and 1,916,578 is: 4,107,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,305 : 1,916,578 = 1,916,578 : x
  2. Step 2: Convert to fraction form
    894,305/1,916,578 = 1,916,578/x
  3. Step 3: Cross multiply
    894,305x = 1,916,578 × 1,916,578
  4. Step 4: Simplify right side
    894,305x = 3,673,271,230,084
  5. Step 5: Solve for x
    x = 3,673,271,230,084/894,305
  6. Step 6: Final answer
    x = 4,107,403.21

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Why These Related Problems?

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