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Finding the Third Proportional to 510,144 and 1,112,143

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Solution

The third proportional to 510,144 and 1,112,143 is: 2,424,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,144 : 1,112,143 = 1,112,143 : x
  2. Step 2: Convert to fraction form
    510,144/1,112,143 = 1,112,143/x
  3. Step 3: Cross multiply
    510,144x = 1,112,143 × 1,112,143
  4. Step 4: Simplify right side
    510,144x = 1,236,862,052,449
  5. Step 5: Solve for x
    x = 1,236,862,052,449/510,144
  6. Step 6: Final answer
    x = 2,424,535.14

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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.