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Finding the Third Proportional to 802,255.50 and 1,781,658

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Solution

The third proportional to 802,255.50 and 1,781,658 is: 3,956,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,255.50 : 1,781,658 = 1,781,658 : x
  2. Step 2: Convert to fraction form
    802,255.50/1,781,658 = 1,781,658/x
  3. Step 3: Cross multiply
    802,255.50x = 1,781,658 × 1,781,658
  4. Step 4: Simplify right side
    802,255.50x = 3,174,305,228,964
  5. Step 5: Solve for x
    x = 3,174,305,228,964/802,255.50
  6. Step 6: Final answer
    x = 3,956,726.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.