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Finding the Third Proportional to 801,416 and 1,692,256

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Solution

The third proportional to 801,416 and 1,692,256 is: 3,573,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,416 : 1,692,256 = 1,692,256 : x
  2. Step 2: Convert to fraction form
    801,416/1,692,256 = 1,692,256/x
  3. Step 3: Cross multiply
    801,416x = 1,692,256 × 1,692,256
  4. Step 4: Simplify right side
    801,416x = 2,863,730,369,536
  5. Step 5: Solve for x
    x = 2,863,730,369,536/801,416
  6. Step 6: Final answer
    x = 3,573,338.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.