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Finding the Third Proportional to 923,022 and 2,003,508

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Solution

The third proportional to 923,022 and 2,003,508 is: 4,348,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,022 : 2,003,508 = 2,003,508 : x
  2. Step 2: Convert to fraction form
    923,022/2,003,508 = 2,003,508/x
  3. Step 3: Cross multiply
    923,022x = 2,003,508 × 2,003,508
  4. Step 4: Simplify right side
    923,022x = 4,014,044,306,064
  5. Step 5: Solve for x
    x = 4,014,044,306,064/923,022
  6. Step 6: Final answer
    x = 4,348,806.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.