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Finding the Third Proportional to 594,881 and 923,427

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Solution

The third proportional to 594,881 and 923,427 is: 1,433,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,881 : 923,427 = 923,427 : x
  2. Step 2: Convert to fraction form
    594,881/923,427 = 923,427/x
  3. Step 3: Cross multiply
    594,881x = 923,427 × 923,427
  4. Step 4: Simplify right side
    594,881x = 852,717,424,329
  5. Step 5: Solve for x
    x = 852,717,424,329/594,881
  6. Step 6: Final answer
    x = 1,433,425.21

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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.