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Finding the Third Proportional to 511,196.06 and 1,075,274.44

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Solution

The third proportional to 511,196.06 and 1,075,274.44 is: 2,261,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,196.06 : 1,075,274.44 = 1,075,274.44 : x
  2. Step 2: Convert to fraction form
    511,196.06/1,075,274.44 = 1,075,274.44/x
  3. Step 3: Cross multiply
    511,196.06x = 1,075,274.44 × 1,075,274.44
  4. Step 4: Simplify right side
    511,196.06x = 1,156,215,115,940.94
  5. Step 5: Solve for x
    x = 1,156,215,115,940.94/511,196.06
  6. Step 6: Final answer
    x = 2,261,784.08

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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.