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Finding the Third Proportional to 432,858.94 and 939,646.83

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Solution

The third proportional to 432,858.94 and 939,646.83 is: 2,039,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,858.94 : 939,646.83 = 939,646.83 : x
  2. Step 2: Convert to fraction form
    432,858.94/939,646.83 = 939,646.83/x
  3. Step 3: Cross multiply
    432,858.94x = 939,646.83 × 939,646.83
  4. Step 4: Simplify right side
    432,858.94x = 882,936,161,605.37
  5. Step 5: Solve for x
    x = 882,936,161,605.37/432,858.94
  6. Step 6: Final answer
    x = 2,039,778.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.