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Finding the Third Proportional to 511,209 and 1,075,299

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Solution

The third proportional to 511,209 and 1,075,299 is: 2,261,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,209 : 1,075,299 = 1,075,299 : x
  2. Step 2: Convert to fraction form
    511,209/1,075,299 = 1,075,299/x
  3. Step 3: Cross multiply
    511,209x = 1,075,299 × 1,075,299
  4. Step 4: Simplify right side
    511,209x = 1,156,267,939,401
  5. Step 5: Solve for x
    x = 1,156,267,939,401/511,209
  6. Step 6: Final answer
    x = 2,261,830.17

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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.