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Finding the Third Proportional to 554,715 and 1,197,821

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Solution

The third proportional to 554,715 and 1,197,821 is: 2,586,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,715 : 1,197,821 = 1,197,821 : x
  2. Step 2: Convert to fraction form
    554,715/1,197,821 = 1,197,821/x
  3. Step 3: Cross multiply
    554,715x = 1,197,821 × 1,197,821
  4. Step 4: Simplify right side
    554,715x = 1,434,775,148,041
  5. Step 5: Solve for x
    x = 1,434,775,148,041/554,715
  6. Step 6: Final answer
    x = 2,586,508.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.