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Finding the Third Proportional to 555,924 and 1,213,806

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Solution

The third proportional to 555,924 and 1,213,806 is: 2,650,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,924 : 1,213,806 = 1,213,806 : x
  2. Step 2: Convert to fraction form
    555,924/1,213,806 = 1,213,806/x
  3. Step 3: Cross multiply
    555,924x = 1,213,806 × 1,213,806
  4. Step 4: Simplify right side
    555,924x = 1,473,325,005,636
  5. Step 5: Solve for x
    x = 1,473,325,005,636/555,924
  6. Step 6: Final answer
    x = 2,650,227.38

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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.