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Finding the Third Proportional to 474,684.75 and 1,023,581.25

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Solution

The third proportional to 474,684.75 and 1,023,581.25 is: 2,207,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,684.75 : 1,023,581.25 = 1,023,581.25 : x
  2. Step 2: Convert to fraction form
    474,684.75/1,023,581.25 = 1,023,581.25/x
  3. Step 3: Cross multiply
    474,684.75x = 1,023,581.25 × 1,023,581.25
  4. Step 4: Simplify right side
    474,684.75x = 1,047,718,575,351.56
  5. Step 5: Solve for x
    x = 1,047,718,575,351.56/474,684.75
  6. Step 6: Final answer
    x = 2,207,188.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.