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Finding the Third Proportional to 511,214 and 1,075,308

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Solution

The third proportional to 511,214 and 1,075,308 is: 2,261,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,214 : 1,075,308 = 1,075,308 : x
  2. Step 2: Convert to fraction form
    511,214/1,075,308 = 1,075,308/x
  3. Step 3: Cross multiply
    511,214x = 1,075,308 × 1,075,308
  4. Step 4: Simplify right side
    511,214x = 1,156,287,294,864
  5. Step 5: Solve for x
    x = 1,156,287,294,864/511,214
  6. Step 6: Final answer
    x = 2,261,845.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.