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Finding the Third Proportional to 665,120 and 1,436,736

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Solution

The third proportional to 665,120 and 1,436,736 is: 3,103,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,120 : 1,436,736 = 1,436,736 : x
  2. Step 2: Convert to fraction form
    665,120/1,436,736 = 1,436,736/x
  3. Step 3: Cross multiply
    665,120x = 1,436,736 × 1,436,736
  4. Step 4: Simplify right side
    665,120x = 2,064,210,333,696
  5. Step 5: Solve for x
    x = 2,064,210,333,696/665,120
  6. Step 6: Final answer
    x = 3,103,515.66

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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.