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Finding the Third Proportional to 589,124 and 934,352

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Solution

The third proportional to 589,124 and 934,352 is: 1,481,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,124 : 934,352 = 934,352 : x
  2. Step 2: Convert to fraction form
    589,124/934,352 = 934,352/x
  3. Step 3: Cross multiply
    589,124x = 934,352 × 934,352
  4. Step 4: Simplify right side
    589,124x = 873,013,659,904
  5. Step 5: Solve for x
    x = 873,013,659,904/589,124
  6. Step 6: Final answer
    x = 1,481,884.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.