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Finding the Third Proportional to 559,146 and 1,206,825

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Solution

The third proportional to 559,146 and 1,206,825 is: 2,604,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,146 : 1,206,825 = 1,206,825 : x
  2. Step 2: Convert to fraction form
    559,146/1,206,825 = 1,206,825/x
  3. Step 3: Cross multiply
    559,146x = 1,206,825 × 1,206,825
  4. Step 4: Simplify right side
    559,146x = 1,456,426,580,625
  5. Step 5: Solve for x
    x = 1,456,426,580,625/559,146
  6. Step 6: Final answer
    x = 2,604,733.97

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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.