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Finding the Third Proportional to 516,928 and 1,095,232

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Solution

The third proportional to 516,928 and 1,095,232 is: 2,320,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,928 : 1,095,232 = 1,095,232 : x
  2. Step 2: Convert to fraction form
    516,928/1,095,232 = 1,095,232/x
  3. Step 3: Cross multiply
    516,928x = 1,095,232 × 1,095,232
  4. Step 4: Simplify right side
    516,928x = 1,199,533,133,824
  5. Step 5: Solve for x
    x = 1,199,533,133,824/516,928
  6. Step 6: Final answer
    x = 2,320,503.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.