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Finding the Third Proportional to 835,476 and 1,766,196

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Solution

The third proportional to 835,476 and 1,766,196 is: 3,733,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,476 : 1,766,196 = 1,766,196 : x
  2. Step 2: Convert to fraction form
    835,476/1,766,196 = 1,766,196/x
  3. Step 3: Cross multiply
    835,476x = 1,766,196 × 1,766,196
  4. Step 4: Simplify right side
    835,476x = 3,119,448,310,416
  5. Step 5: Solve for x
    x = 3,119,448,310,416/835,476
  6. Step 6: Final answer
    x = 3,733,737.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.