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Finding the Third Proportional to 510,144.75 and 1,112,145.75

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Solution

The third proportional to 510,144.75 and 1,112,145.75 is: 2,424,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,144.75 : 1,112,145.75 = 1,112,145.75 : x
  2. Step 2: Convert to fraction form
    510,144.75/1,112,145.75 = 1,112,145.75/x
  3. Step 3: Cross multiply
    510,144.75x = 1,112,145.75 × 1,112,145.75
  4. Step 4: Simplify right side
    510,144.75x = 1,236,868,169,243.06
  5. Step 5: Solve for x
    x = 1,236,868,169,243.06/510,144.75
  6. Step 6: Final answer
    x = 2,424,543.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.