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Finding the Third Proportional to 813,814 and 1,767,736

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Solution

The third proportional to 813,814 and 1,767,736 is: 3,839,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,814 : 1,767,736 = 1,767,736 : x
  2. Step 2: Convert to fraction form
    813,814/1,767,736 = 1,767,736/x
  3. Step 3: Cross multiply
    813,814x = 1,767,736 × 1,767,736
  4. Step 4: Simplify right side
    813,814x = 3,124,890,565,696
  5. Step 5: Solve for x
    x = 3,124,890,565,696/813,814
  6. Step 6: Final answer
    x = 3,839,809.30

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