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Finding the Third Proportional to 2,881,025 and 6,181,954

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Solution

The third proportional to 2,881,025 and 6,181,954 is: 13,264,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881,025 : 6,181,954 = 6,181,954 : x
  2. Step 2: Convert to fraction form
    2,881,025/6,181,954 = 6,181,954/x
  3. Step 3: Cross multiply
    2,881,025x = 6,181,954 × 6,181,954
  4. Step 4: Simplify right side
    2,881,025x = 38,216,555,258,116
  5. Step 5: Solve for x
    x = 38,216,555,258,116/2,881,025
  6. Step 6: Final answer
    x = 13,264,916.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.