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Finding the Third Proportional to 802,354 and 1,708,676

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Solution

The third proportional to 802,354 and 1,708,676 is: 3,638,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,354 : 1,708,676 = 1,708,676 : x
  2. Step 2: Convert to fraction form
    802,354/1,708,676 = 1,708,676/x
  3. Step 3: Cross multiply
    802,354x = 1,708,676 × 1,708,676
  4. Step 4: Simplify right side
    802,354x = 2,919,573,672,976
  5. Step 5: Solve for x
    x = 2,919,573,672,976/802,354
  6. Step 6: Final answer
    x = 3,638,760.04

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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.