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Finding the Third Proportional to 807,834 and 1,196,154

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Solution

The third proportional to 807,834 and 1,196,154 is: 1,771,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,834 : 1,196,154 = 1,196,154 : x
  2. Step 2: Convert to fraction form
    807,834/1,196,154 = 1,196,154/x
  3. Step 3: Cross multiply
    807,834x = 1,196,154 × 1,196,154
  4. Step 4: Simplify right side
    807,834x = 1,430,784,391,716
  5. Step 5: Solve for x
    x = 1,430,784,391,716/807,834
  6. Step 6: Final answer
    x = 1,771,136.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.