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Finding the Third Proportional to 816,348 and 1,227,636

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Solution

The third proportional to 816,348 and 1,227,636 is: 1,846,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,348 : 1,227,636 = 1,227,636 : x
  2. Step 2: Convert to fraction form
    816,348/1,227,636 = 1,227,636/x
  3. Step 3: Cross multiply
    816,348x = 1,227,636 × 1,227,636
  4. Step 4: Simplify right side
    816,348x = 1,507,090,148,496
  5. Step 5: Solve for x
    x = 1,507,090,148,496/816,348
  6. Step 6: Final answer
    x = 1,846,136.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.