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Finding the Third Proportional to 2,393,735 and 5,237,902

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Solution

The third proportional to 2,393,735 and 5,237,902 is: 11,461,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,735 : 5,237,902 = 5,237,902 : x
  2. Step 2: Convert to fraction form
    2,393,735/5,237,902 = 5,237,902/x
  3. Step 3: Cross multiply
    2,393,735x = 5,237,902 × 5,237,902
  4. Step 4: Simplify right side
    2,393,735x = 27,435,617,361,604
  5. Step 5: Solve for x
    x = 27,435,617,361,604/2,393,735
  6. Step 6: Final answer
    x = 11,461,426.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.