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Finding the Third Proportional to 516,144 and 1,053,024

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Solution

The third proportional to 516,144 and 1,053,024 is: 2,148,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,144 : 1,053,024 = 1,053,024 : x
  2. Step 2: Convert to fraction form
    516,144/1,053,024 = 1,053,024/x
  3. Step 3: Cross multiply
    516,144x = 1,053,024 × 1,053,024
  4. Step 4: Simplify right side
    516,144x = 1,108,859,544,576
  5. Step 5: Solve for x
    x = 1,108,859,544,576/516,144
  6. Step 6: Final answer
    x = 2,148,353.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.