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Finding the Third Proportional to 802,134 and 1,735,164

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Solution

The third proportional to 802,134 and 1,735,164 is: 3,753,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,134 : 1,735,164 = 1,735,164 : x
  2. Step 2: Convert to fraction form
    802,134/1,735,164 = 1,735,164/x
  3. Step 3: Cross multiply
    802,134x = 1,735,164 × 1,735,164
  4. Step 4: Simplify right side
    802,134x = 3,010,794,106,896
  5. Step 5: Solve for x
    x = 3,010,794,106,896/802,134
  6. Step 6: Final answer
    x = 3,753,480.23

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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.