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Finding the Third Proportional to 822,170 and 1,793,348

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Solution

The third proportional to 822,170 and 1,793,348 is: 3,911,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,170 : 1,793,348 = 1,793,348 : x
  2. Step 2: Convert to fraction form
    822,170/1,793,348 = 1,793,348/x
  3. Step 3: Cross multiply
    822,170x = 1,793,348 × 1,793,348
  4. Step 4: Simplify right side
    822,170x = 3,216,097,049,104
  5. Step 5: Solve for x
    x = 3,216,097,049,104/822,170
  6. Step 6: Final answer
    x = 3,911,717.83

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