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Finding the Third Proportional to 893,744 and 2,108,008

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Solution

The third proportional to 893,744 and 2,108,008 is: 4,972,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,744 : 2,108,008 = 2,108,008 : x
  2. Step 2: Convert to fraction form
    893,744/2,108,008 = 2,108,008/x
  3. Step 3: Cross multiply
    893,744x = 2,108,008 × 2,108,008
  4. Step 4: Simplify right side
    893,744x = 4,443,697,728,064
  5. Step 5: Solve for x
    x = 4,443,697,728,064/893,744
  6. Step 6: Final answer
    x = 4,972,002.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.