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Finding the Third Proportional to 809,732 and 1,153,474

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Solution

The third proportional to 809,732 and 1,153,474 is: 1,643,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,732 : 1,153,474 = 1,153,474 : x
  2. Step 2: Convert to fraction form
    809,732/1,153,474 = 1,153,474/x
  3. Step 3: Cross multiply
    809,732x = 1,153,474 × 1,153,474
  4. Step 4: Simplify right side
    809,732x = 1,330,502,268,676
  5. Step 5: Solve for x
    x = 1,330,502,268,676/809,732
  6. Step 6: Final answer
    x = 1,643,139.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.