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Finding the Third Proportional to 852,236 and 1,822,671

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Solution

The third proportional to 852,236 and 1,822,671 is: 3,898,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,236 : 1,822,671 = 1,822,671 : x
  2. Step 2: Convert to fraction form
    852,236/1,822,671 = 1,822,671/x
  3. Step 3: Cross multiply
    852,236x = 1,822,671 × 1,822,671
  4. Step 4: Simplify right side
    852,236x = 3,322,129,574,241
  5. Step 5: Solve for x
    x = 3,322,129,574,241/852,236
  6. Step 6: Final answer
    x = 3,898,133.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.