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Finding the Third Proportional to 802,228 and 1,711,208

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Solution

The third proportional to 802,228 and 1,711,208 is: 3,650,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,228 : 1,711,208 = 1,711,208 : x
  2. Step 2: Convert to fraction form
    802,228/1,711,208 = 1,711,208/x
  3. Step 3: Cross multiply
    802,228x = 1,711,208 × 1,711,208
  4. Step 4: Simplify right side
    802,228x = 2,928,232,819,264
  5. Step 5: Solve for x
    x = 2,928,232,819,264/802,228
  6. Step 6: Final answer
    x = 3,650,125.42

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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.