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Finding the Third Proportional to 511,252 and 1,075,374

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Solution

The third proportional to 511,252 and 1,075,374 is: 2,261,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,252 : 1,075,374 = 1,075,374 : x
  2. Step 2: Convert to fraction form
    511,252/1,075,374 = 1,075,374/x
  3. Step 3: Cross multiply
    511,252x = 1,075,374 × 1,075,374
  4. Step 4: Simplify right side
    511,252x = 1,156,429,239,876
  5. Step 5: Solve for x
    x = 1,156,429,239,876/511,252
  6. Step 6: Final answer
    x = 2,261,955.43

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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.