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Finding the Third Proportional to 807,814 and 1,699,196

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Solution

The third proportional to 807,814 and 1,699,196 is: 3,574,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,814 : 1,699,196 = 1,699,196 : x
  2. Step 2: Convert to fraction form
    807,814/1,699,196 = 1,699,196/x
  3. Step 3: Cross multiply
    807,814x = 1,699,196 × 1,699,196
  4. Step 4: Simplify right side
    807,814x = 2,887,267,046,416
  5. Step 5: Solve for x
    x = 2,887,267,046,416/807,814
  6. Step 6: Final answer
    x = 3,574,173.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.