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Finding the Third Proportional to 847,736 and 1,188,180

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Solution

The third proportional to 847,736 and 1,188,180 is: 1,665,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,736 : 1,188,180 = 1,188,180 : x
  2. Step 2: Convert to fraction form
    847,736/1,188,180 = 1,188,180/x
  3. Step 3: Cross multiply
    847,736x = 1,188,180 × 1,188,180
  4. Step 4: Simplify right side
    847,736x = 1,411,771,712,400
  5. Step 5: Solve for x
    x = 1,411,771,712,400/847,736
  6. Step 6: Final answer
    x = 1,665,343.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.