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Finding the Third Proportional to 809,400 and 1,748,482

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Solution

The third proportional to 809,400 and 1,748,482 is: 3,777,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,400 : 1,748,482 = 1,748,482 : x
  2. Step 2: Convert to fraction form
    809,400/1,748,482 = 1,748,482/x
  3. Step 3: Cross multiply
    809,400x = 1,748,482 × 1,748,482
  4. Step 4: Simplify right side
    809,400x = 3,057,189,304,324
  5. Step 5: Solve for x
    x = 3,057,189,304,324/809,400
  6. Step 6: Final answer
    x = 3,777,105.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.