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Finding the Third Proportional to 2,051,234 and 4,489,108

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Solution

The third proportional to 2,051,234 and 4,489,108 is: 9,824,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,234 : 4,489,108 = 4,489,108 : x
  2. Step 2: Convert to fraction form
    2,051,234/4,489,108 = 4,489,108/x
  3. Step 3: Cross multiply
    2,051,234x = 4,489,108 × 4,489,108
  4. Step 4: Simplify right side
    2,051,234x = 20,152,090,635,664
  5. Step 5: Solve for x
    x = 20,152,090,635,664/2,051,234
  6. Step 6: Final answer
    x = 9,824,374.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.