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Finding the Third Proportional to 800,084 and 1,707,304

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Solution

The third proportional to 800,084 and 1,707,304 is: 3,643,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,084 : 1,707,304 = 1,707,304 : x
  2. Step 2: Convert to fraction form
    800,084/1,707,304 = 1,707,304/x
  3. Step 3: Cross multiply
    800,084x = 1,707,304 × 1,707,304
  4. Step 4: Simplify right side
    800,084x = 2,914,886,948,416
  5. Step 5: Solve for x
    x = 2,914,886,948,416/800,084
  6. Step 6: Final answer
    x = 3,643,226.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.