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Finding the Third Proportional to 833,367 and 1,818,170

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Solution

The third proportional to 833,367 and 1,818,170 is: 3,966,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,367 : 1,818,170 = 1,818,170 : x
  2. Step 2: Convert to fraction form
    833,367/1,818,170 = 1,818,170/x
  3. Step 3: Cross multiply
    833,367x = 1,818,170 × 1,818,170
  4. Step 4: Simplify right side
    833,367x = 3,305,742,148,900
  5. Step 5: Solve for x
    x = 3,305,742,148,900/833,367
  6. Step 6: Final answer
    x = 3,966,730.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.