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Finding the Third Proportional to 2,100,081 and 4,580,295

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Solution

The third proportional to 2,100,081 and 4,580,295 is: 9,989,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,081 : 4,580,295 = 4,580,295 : x
  2. Step 2: Convert to fraction form
    2,100,081/4,580,295 = 4,580,295/x
  3. Step 3: Cross multiply
    2,100,081x = 4,580,295 × 4,580,295
  4. Step 4: Simplify right side
    2,100,081x = 20,979,102,287,025
  5. Step 5: Solve for x
    x = 20,979,102,287,025/2,100,081
  6. Step 6: Final answer
    x = 9,989,663.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.