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Finding the Third Proportional to 1,091,512.50 and 2,296,122

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Solution

The third proportional to 1,091,512.50 and 2,296,122 is: 4,830,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,512.50 : 2,296,122 = 2,296,122 : x
  2. Step 2: Convert to fraction form
    1,091,512.50/2,296,122 = 2,296,122/x
  3. Step 3: Cross multiply
    1,091,512.50x = 2,296,122 × 2,296,122
  4. Step 4: Simplify right side
    1,091,512.50x = 5,272,176,238,884
  5. Step 5: Solve for x
    x = 5,272,176,238,884/1,091,512.50
  6. Step 6: Final answer
    x = 4,830,156.54

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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.