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Finding the Third Proportional to 554,904 and 1,197,216

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Solution

The third proportional to 554,904 and 1,197,216 is: 2,583,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,904 : 1,197,216 = 1,197,216 : x
  2. Step 2: Convert to fraction form
    554,904/1,197,216 = 1,197,216/x
  3. Step 3: Cross multiply
    554,904x = 1,197,216 × 1,197,216
  4. Step 4: Simplify right side
    554,904x = 1,433,326,150,656
  5. Step 5: Solve for x
    x = 1,433,326,150,656/554,904
  6. Step 6: Final answer
    x = 2,583,016.43

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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.