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Finding the Third Proportional to 366,006 and 793,106

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Solution

The third proportional to 366,006 and 793,106 is: 1,718,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,006 : 793,106 = 793,106 : x
  2. Step 2: Convert to fraction form
    366,006/793,106 = 793,106/x
  3. Step 3: Cross multiply
    366,006x = 793,106 × 793,106
  4. Step 4: Simplify right side
    366,006x = 629,017,127,236
  5. Step 5: Solve for x
    x = 629,017,127,236/366,006
  6. Step 6: Final answer
    x = 1,718,597.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.