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Finding the Third Proportional to 852,070 and 1,836,990

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Solution

The third proportional to 852,070 and 1,836,990 is: 3,960,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,070 : 1,836,990 = 1,836,990 : x
  2. Step 2: Convert to fraction form
    852,070/1,836,990 = 1,836,990/x
  3. Step 3: Cross multiply
    852,070x = 1,836,990 × 1,836,990
  4. Step 4: Simplify right side
    852,070x = 3,374,532,260,100
  5. Step 5: Solve for x
    x = 3,374,532,260,100/852,070
  6. Step 6: Final answer
    x = 3,960,393.23

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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.