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Finding the Third Proportional to 1,218,381 and 2,640,153

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Solution

The third proportional to 1,218,381 and 2,640,153 is: 5,721,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,381 : 2,640,153 = 2,640,153 : x
  2. Step 2: Convert to fraction form
    1,218,381/2,640,153 = 2,640,153/x
  3. Step 3: Cross multiply
    1,218,381x = 2,640,153 × 2,640,153
  4. Step 4: Simplify right side
    1,218,381x = 6,970,407,863,409
  5. Step 5: Solve for x
    x = 6,970,407,863,409/1,218,381
  6. Step 6: Final answer
    x = 5,721,041.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.