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Finding the Third Proportional to 588,126.75 and 1,275,810.75

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Solution

The third proportional to 588,126.75 and 1,275,810.75 is: 2,767,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,126.75 : 1,275,810.75 = 1,275,810.75 : x
  2. Step 2: Convert to fraction form
    588,126.75/1,275,810.75 = 1,275,810.75/x
  3. Step 3: Cross multiply
    588,126.75x = 1,275,810.75 × 1,275,810.75
  4. Step 4: Simplify right side
    588,126.75x = 1,627,693,069,815.56
  5. Step 5: Solve for x
    x = 1,627,693,069,815.56/588,126.75
  6. Step 6: Final answer
    x = 2,767,588.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.