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Finding the Third Proportional to 802,208 and 1,711,168

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Solution

The third proportional to 802,208 and 1,711,168 is: 3,650,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,208 : 1,711,168 = 1,711,168 : x
  2. Step 2: Convert to fraction form
    802,208/1,711,168 = 1,711,168/x
  3. Step 3: Cross multiply
    802,208x = 1,711,168 × 1,711,168
  4. Step 4: Simplify right side
    802,208x = 2,928,095,924,224
  5. Step 5: Solve for x
    x = 2,928,095,924,224/802,208
  6. Step 6: Final answer
    x = 3,650,045.78

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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.