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Finding the Third Proportional to 555,919 and 1,213,796

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Solution

The third proportional to 555,919 and 1,213,796 is: 2,650,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,919 : 1,213,796 = 1,213,796 : x
  2. Step 2: Convert to fraction form
    555,919/1,213,796 = 1,213,796/x
  3. Step 3: Cross multiply
    555,919x = 1,213,796 × 1,213,796
  4. Step 4: Simplify right side
    555,919x = 1,473,300,729,616
  5. Step 5: Solve for x
    x = 1,473,300,729,616/555,919
  6. Step 6: Final answer
    x = 2,650,207.55

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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.