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Finding the Third Proportional to 612,794 and 915,483

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Solution

The third proportional to 612,794 and 915,483 is: 1,367,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,794 : 915,483 = 915,483 : x
  2. Step 2: Convert to fraction form
    612,794/915,483 = 915,483/x
  3. Step 3: Cross multiply
    612,794x = 915,483 × 915,483
  4. Step 4: Simplify right side
    612,794x = 838,109,123,289
  5. Step 5: Solve for x
    x = 838,109,123,289/612,794
  6. Step 6: Final answer
    x = 1,367,684.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.