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Finding the Third Proportional to 840,902 and 1,838,296

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Solution

The third proportional to 840,902 and 1,838,296 is: 4,018,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,902 : 1,838,296 = 1,838,296 : x
  2. Step 2: Convert to fraction form
    840,902/1,838,296 = 1,838,296/x
  3. Step 3: Cross multiply
    840,902x = 1,838,296 × 1,838,296
  4. Step 4: Simplify right side
    840,902x = 3,379,332,183,616
  5. Step 5: Solve for x
    x = 3,379,332,183,616/840,902
  6. Step 6: Final answer
    x = 4,018,699.19

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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.