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Finding the Third Proportional to 554,997 and 1,196,385

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Solution

The third proportional to 554,997 and 1,196,385 is: 2,578,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,997 : 1,196,385 = 1,196,385 : x
  2. Step 2: Convert to fraction form
    554,997/1,196,385 = 1,196,385/x
  3. Step 3: Cross multiply
    554,997x = 1,196,385 × 1,196,385
  4. Step 4: Simplify right side
    554,997x = 1,431,337,068,225
  5. Step 5: Solve for x
    x = 1,431,337,068,225/554,997
  6. Step 6: Final answer
    x = 2,578,999.65

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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.