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Finding the Third Proportional to 615,774 and 921,204

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Solution

The third proportional to 615,774 and 921,204 is: 1,378,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,774 : 921,204 = 921,204 : x
  2. Step 2: Convert to fraction form
    615,774/921,204 = 921,204/x
  3. Step 3: Cross multiply
    615,774x = 921,204 × 921,204
  4. Step 4: Simplify right side
    615,774x = 848,616,809,616
  5. Step 5: Solve for x
    x = 848,616,809,616/615,774
  6. Step 6: Final answer
    x = 1,378,130.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.