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Finding the Third Proportional to 2,954,092 and 6,426,584

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Solution

The third proportional to 2,954,092 and 6,426,584 is: 13,980,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,092 : 6,426,584 = 6,426,584 : x
  2. Step 2: Convert to fraction form
    2,954,092/6,426,584 = 6,426,584/x
  3. Step 3: Cross multiply
    2,954,092x = 6,426,584 × 6,426,584
  4. Step 4: Simplify right side
    2,954,092x = 41,300,981,909,056
  5. Step 5: Solve for x
    x = 41,300,981,909,056/2,954,092
  6. Step 6: Final answer
    x = 13,980,939.63

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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.