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Finding the Third Proportional to 589,296 and 914,112

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Solution

The third proportional to 589,296 and 914,112 is: 1,417,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,296 : 914,112 = 914,112 : x
  2. Step 2: Convert to fraction form
    589,296/914,112 = 914,112/x
  3. Step 3: Cross multiply
    589,296x = 914,112 × 914,112
  4. Step 4: Simplify right side
    589,296x = 835,600,748,544
  5. Step 5: Solve for x
    x = 835,600,748,544/589,296
  6. Step 6: Final answer
    x = 1,417,964.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.