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Finding the Third Proportional to 723,968 and 1,544,084

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Solution

The third proportional to 723,968 and 1,544,084 is: 3,293,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,968 : 1,544,084 = 1,544,084 : x
  2. Step 2: Convert to fraction form
    723,968/1,544,084 = 1,544,084/x
  3. Step 3: Cross multiply
    723,968x = 1,544,084 × 1,544,084
  4. Step 4: Simplify right side
    723,968x = 2,384,195,399,056
  5. Step 5: Solve for x
    x = 2,384,195,399,056/723,968
  6. Step 6: Final answer
    x = 3,293,233.13

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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.