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Finding the Third Proportional to 723,880 and 1,543,944

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Solution

The third proportional to 723,880 and 1,543,944 is: 3,293,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,880 : 1,543,944 = 1,543,944 : x
  2. Step 2: Convert to fraction form
    723,880/1,543,944 = 1,543,944/x
  3. Step 3: Cross multiply
    723,880x = 1,543,944 × 1,543,944
  4. Step 4: Simplify right side
    723,880x = 2,383,763,075,136
  5. Step 5: Solve for x
    x = 2,383,763,075,136/723,880
  6. Step 6: Final answer
    x = 3,293,036.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.