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Finding the Third Proportional to 1,926,834 and 4,149,642

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Solution

The third proportional to 1,926,834 and 4,149,642 is: 8,936,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,834 : 4,149,642 = 4,149,642 : x
  2. Step 2: Convert to fraction form
    1,926,834/4,149,642 = 4,149,642/x
  3. Step 3: Cross multiply
    1,926,834x = 4,149,642 × 4,149,642
  4. Step 4: Simplify right side
    1,926,834x = 17,219,528,728,164
  5. Step 5: Solve for x
    x = 17,219,528,728,164/1,926,834
  6. Step 6: Final answer
    x = 8,936,695.50

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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.