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Finding the Third Proportional to 467,433.84 and 1,004,695.59

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Solution

The third proportional to 467,433.84 and 1,004,695.59 is: 2,159,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,433.84 : 1,004,695.59 = 1,004,695.59 : x
  2. Step 2: Convert to fraction form
    467,433.84/1,004,695.59 = 1,004,695.59/x
  3. Step 3: Cross multiply
    467,433.84x = 1,004,695.59 × 1,004,695.59
  4. Step 4: Simplify right side
    467,433.84x = 1,009,413,236,100.67
  5. Step 5: Solve for x
    x = 1,009,413,236,100.67/467,433.84
  6. Step 6: Final answer
    x = 2,159,478.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.