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Finding the Third Proportional to 1,940,014.23 and 4,081,001.80

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Solution

The third proportional to 1,940,014.23 and 4,081,001.80 is: 8,584,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,014.23 : 4,081,001.80 = 4,081,001.80 : x
  2. Step 2: Convert to fraction form
    1,940,014.23/4,081,001.80 = 4,081,001.80/x
  3. Step 3: Cross multiply
    1,940,014.23x = 4,081,001.80 × 4,081,001.80
  4. Step 4: Simplify right side
    1,940,014.23x = 16,654,575,697,979.40
  5. Step 5: Solve for x
    x = 16,654,575,697,979.40/1,940,014.23
  6. Step 6: Final answer
    x = 8,584,769.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.