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Finding the Third Proportional to 515,780 and 1,121,232

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Solution

The third proportional to 515,780 and 1,121,232 is: 2,437,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,780 : 1,121,232 = 1,121,232 : x
  2. Step 2: Convert to fraction form
    515,780/1,121,232 = 1,121,232/x
  3. Step 3: Cross multiply
    515,780x = 1,121,232 × 1,121,232
  4. Step 4: Simplify right side
    515,780x = 1,257,161,197,824
  5. Step 5: Solve for x
    x = 1,257,161,197,824/515,780
  6. Step 6: Final answer
    x = 2,437,398.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.