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Finding the Third Proportional to 525,538.13 and 1,149,207.75

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Solution

The third proportional to 525,538.13 and 1,149,207.75 is: 2,513,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,538.13 : 1,149,207.75 = 1,149,207.75 : x
  2. Step 2: Convert to fraction form
    525,538.13/1,149,207.75 = 1,149,207.75/x
  3. Step 3: Cross multiply
    525,538.13x = 1,149,207.75 × 1,149,207.75
  4. Step 4: Simplify right side
    525,538.13x = 1,320,678,452,660.06
  5. Step 5: Solve for x
    x = 1,320,678,452,660.06/525,538.13
  6. Step 6: Final answer
    x = 2,513,002.18

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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.