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Finding the Third Proportional to 785,774 and 1,696,756

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Solution

The third proportional to 785,774 and 1,696,756 is: 3,663,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,774 : 1,696,756 = 1,696,756 : x
  2. Step 2: Convert to fraction form
    785,774/1,696,756 = 1,696,756/x
  3. Step 3: Cross multiply
    785,774x = 1,696,756 × 1,696,756
  4. Step 4: Simplify right side
    785,774x = 2,878,980,923,536
  5. Step 5: Solve for x
    x = 2,878,980,923,536/785,774
  6. Step 6: Final answer
    x = 3,663,879.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.