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Finding the Third Proportional to 460,454.63 and 939,635.44

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Solution

The third proportional to 460,454.63 and 939,635.44 is: 1,917,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,454.63 : 939,635.44 = 939,635.44 : x
  2. Step 2: Convert to fraction form
    460,454.63/939,635.44 = 939,635.44/x
  3. Step 3: Cross multiply
    460,454.63x = 939,635.44 × 939,635.44
  4. Step 4: Simplify right side
    460,454.63x = 882,914,755,405.82
  5. Step 5: Solve for x
    x = 882,914,755,405.82/460,454.63
  6. Step 6: Final answer
    x = 1,917,484.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.