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Finding the Third Proportional to 413,684 and 893,384

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Solution

The third proportional to 413,684 and 893,384 is: 1,929,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,684 : 893,384 = 893,384 : x
  2. Step 2: Convert to fraction form
    413,684/893,384 = 893,384/x
  3. Step 3: Cross multiply
    413,684x = 893,384 × 893,384
  4. Step 4: Simplify right side
    413,684x = 798,134,971,456
  5. Step 5: Solve for x
    x = 798,134,971,456/413,684
  6. Step 6: Final answer
    x = 1,929,334.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.