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Finding the Third Proportional to 594,048 and 919,216

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Solution

The third proportional to 594,048 and 919,216 is: 1,422,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,048 : 919,216 = 919,216 : x
  2. Step 2: Convert to fraction form
    594,048/919,216 = 919,216/x
  3. Step 3: Cross multiply
    594,048x = 919,216 × 919,216
  4. Step 4: Simplify right side
    594,048x = 844,958,054,656
  5. Step 5: Solve for x
    x = 844,958,054,656/594,048
  6. Step 6: Final answer
    x = 1,422,373.37

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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.