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Finding the Third Proportional to 474,468.75 and 1,023,675.75

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Solution

The third proportional to 474,468.75 and 1,023,675.75 is: 2,208,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,468.75 : 1,023,675.75 = 1,023,675.75 : x
  2. Step 2: Convert to fraction form
    474,468.75/1,023,675.75 = 1,023,675.75/x
  3. Step 3: Cross multiply
    474,468.75x = 1,023,675.75 × 1,023,675.75
  4. Step 4: Simplify right side
    474,468.75x = 1,047,912,041,138.06
  5. Step 5: Solve for x
    x = 1,047,912,041,138.06/474,468.75
  6. Step 6: Final answer
    x = 2,208,600.76

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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.