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Finding the Third Proportional to 513,438 and 1,144,935

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Solution

The third proportional to 513,438 and 1,144,935 is: 2,553,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,438 : 1,144,935 = 1,144,935 : x
  2. Step 2: Convert to fraction form
    513,438/1,144,935 = 1,144,935/x
  3. Step 3: Cross multiply
    513,438x = 1,144,935 × 1,144,935
  4. Step 4: Simplify right side
    513,438x = 1,310,876,154,225
  5. Step 5: Solve for x
    x = 1,310,876,154,225/513,438
  6. Step 6: Final answer
    x = 2,553,134.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.