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Finding the Third Proportional to 741,968 and 1,377,880

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Solution

The third proportional to 741,968 and 1,377,880 is: 2,558,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,968 : 1,377,880 = 1,377,880 : x
  2. Step 2: Convert to fraction form
    741,968/1,377,880 = 1,377,880/x
  3. Step 3: Cross multiply
    741,968x = 1,377,880 × 1,377,880
  4. Step 4: Simplify right side
    741,968x = 1,898,553,294,400
  5. Step 5: Solve for x
    x = 1,898,553,294,400/741,968
  6. Step 6: Final answer
    x = 2,558,807.52

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.