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Finding the Third Proportional to 824,262 and 1,757,400

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Solution

The third proportional to 824,262 and 1,757,400 is: 3,746,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,262 : 1,757,400 = 1,757,400 : x
  2. Step 2: Convert to fraction form
    824,262/1,757,400 = 1,757,400/x
  3. Step 3: Cross multiply
    824,262x = 1,757,400 × 1,757,400
  4. Step 4: Simplify right side
    824,262x = 3,088,454,760,000
  5. Step 5: Solve for x
    x = 3,088,454,760,000/824,262
  6. Step 6: Final answer
    x = 3,746,933.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.