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Finding the Third Proportional to 952,385.63 and 1,296,962.44

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Solution

The third proportional to 952,385.63 and 1,296,962.44 is: 1,766,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,385.63 : 1,296,962.44 = 1,296,962.44 : x
  2. Step 2: Convert to fraction form
    952,385.63/1,296,962.44 = 1,296,962.44/x
  3. Step 3: Cross multiply
    952,385.63x = 1,296,962.44 × 1,296,962.44
  4. Step 4: Simplify right side
    952,385.63x = 1,682,111,564,285.94
  5. Step 5: Solve for x
    x = 1,682,111,564,285.94/952,385.63
  6. Step 6: Final answer
    x = 1,766,208.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.