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Finding the Third Proportional to 824,265 and 1,757,397

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Solution

The third proportional to 824,265 and 1,757,397 is: 3,746,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,265 : 1,757,397 = 1,757,397 : x
  2. Step 2: Convert to fraction form
    824,265/1,757,397 = 1,757,397/x
  3. Step 3: Cross multiply
    824,265x = 1,757,397 × 1,757,397
  4. Step 4: Simplify right side
    824,265x = 3,088,444,215,609
  5. Step 5: Solve for x
    x = 3,088,444,215,609/824,265
  6. Step 6: Final answer
    x = 3,746,906.90

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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.