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Finding the Third Proportional to 501,569 and 1,083,086

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Solution

The third proportional to 501,569 and 1,083,086 is: 2,338,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,569 : 1,083,086 = 1,083,086 : x
  2. Step 2: Convert to fraction form
    501,569/1,083,086 = 1,083,086/x
  3. Step 3: Cross multiply
    501,569x = 1,083,086 × 1,083,086
  4. Step 4: Simplify right side
    501,569x = 1,173,075,283,396
  5. Step 5: Solve for x
    x = 1,173,075,283,396/501,569
  6. Step 6: Final answer
    x = 2,338,811.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.