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Finding the Third Proportional to 863,029.69 and 1,817,047.69

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Solution

The third proportional to 863,029.69 and 1,817,047.69 is: 3,825,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,029.69 : 1,817,047.69 = 1,817,047.69 : x
  2. Step 2: Convert to fraction form
    863,029.69/1,817,047.69 = 1,817,047.69/x
  3. Step 3: Cross multiply
    863,029.69x = 1,817,047.69 × 1,817,047.69
  4. Step 4: Simplify right side
    863,029.69x = 3,301,662,298,649.10
  5. Step 5: Solve for x
    x = 3,301,662,298,649.10/863,029.69
  6. Step 6: Final answer
    x = 3,825,664.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.