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Finding the Third Proportional to 524,886.75 and 1,151,469

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Solution

The third proportional to 524,886.75 and 1,151,469 is: 2,526,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,886.75 : 1,151,469 = 1,151,469 : x
  2. Step 2: Convert to fraction form
    524,886.75/1,151,469 = 1,151,469/x
  3. Step 3: Cross multiply
    524,886.75x = 1,151,469 × 1,151,469
  4. Step 4: Simplify right side
    524,886.75x = 1,325,880,857,961
  5. Step 5: Solve for x
    x = 1,325,880,857,961/524,886.75
  6. Step 6: Final answer
    x = 2,526,032.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.