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Finding the Third Proportional to 555,936 and 1,213,824

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Solution

The third proportional to 555,936 and 1,213,824 is: 2,650,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,936 : 1,213,824 = 1,213,824 : x
  2. Step 2: Convert to fraction form
    555,936/1,213,824 = 1,213,824/x
  3. Step 3: Cross multiply
    555,936x = 1,213,824 × 1,213,824
  4. Step 4: Simplify right side
    555,936x = 1,473,368,702,976
  5. Step 5: Solve for x
    x = 1,473,368,702,976/555,936
  6. Step 6: Final answer
    x = 2,650,248.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.