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Finding the Third Proportional to 783,927 and 1,696,158

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Solution

The third proportional to 783,927 and 1,696,158 is: 3,669,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,927 : 1,696,158 = 1,696,158 : x
  2. Step 2: Convert to fraction form
    783,927/1,696,158 = 1,696,158/x
  3. Step 3: Cross multiply
    783,927x = 1,696,158 × 1,696,158
  4. Step 4: Simplify right side
    783,927x = 2,876,951,960,964
  5. Step 5: Solve for x
    x = 2,876,951,960,964/783,927
  6. Step 6: Final answer
    x = 3,669,923.30

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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.