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Finding the Third Proportional to 511,257 and 1,075,383

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Solution

The third proportional to 511,257 and 1,075,383 is: 2,261,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,257 : 1,075,383 = 1,075,383 : x
  2. Step 2: Convert to fraction form
    511,257/1,075,383 = 1,075,383/x
  3. Step 3: Cross multiply
    511,257x = 1,075,383 × 1,075,383
  4. Step 4: Simplify right side
    511,257x = 1,156,448,596,689
  5. Step 5: Solve for x
    x = 1,156,448,596,689/511,257
  6. Step 6: Final answer
    x = 2,261,971.17

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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.