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Finding the Third Proportional to 511,254 and 1,075,377

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Solution

The third proportional to 511,254 and 1,075,377 is: 2,261,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,254 : 1,075,377 = 1,075,377 : x
  2. Step 2: Convert to fraction form
    511,254/1,075,377 = 1,075,377/x
  3. Step 3: Cross multiply
    511,254x = 1,075,377 × 1,075,377
  4. Step 4: Simplify right side
    511,254x = 1,156,435,692,129
  5. Step 5: Solve for x
    x = 1,156,435,692,129/511,254
  6. Step 6: Final answer
    x = 2,261,959.21

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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.