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Finding the Third Proportional to 2,125,181 and 4,586,195

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Solution

The third proportional to 2,125,181 and 4,586,195 is: 9,897,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,181 : 4,586,195 = 4,586,195 : x
  2. Step 2: Convert to fraction form
    2,125,181/4,586,195 = 4,586,195/x
  3. Step 3: Cross multiply
    2,125,181x = 4,586,195 × 4,586,195
  4. Step 4: Simplify right side
    2,125,181x = 21,033,184,578,025
  5. Step 5: Solve for x
    x = 21,033,184,578,025/2,125,181
  6. Step 6: Final answer
    x = 9,897,126.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.