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Finding the Third Proportional to 2,004,152 and 4,205,242

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Solution

The third proportional to 2,004,152 and 4,205,242 is: 8,823,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,152 : 4,205,242 = 4,205,242 : x
  2. Step 2: Convert to fraction form
    2,004,152/4,205,242 = 4,205,242/x
  3. Step 3: Cross multiply
    2,004,152x = 4,205,242 × 4,205,242
  4. Step 4: Simplify right side
    2,004,152x = 17,684,060,278,564
  5. Step 5: Solve for x
    x = 17,684,060,278,564/2,004,152
  6. Step 6: Final answer
    x = 8,823,712.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.