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Finding the Third Proportional to 694,872 and 1,509,300

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Solution

The third proportional to 694,872 and 1,509,300 is: 3,278,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,872 : 1,509,300 = 1,509,300 : x
  2. Step 2: Convert to fraction form
    694,872/1,509,300 = 1,509,300/x
  3. Step 3: Cross multiply
    694,872x = 1,509,300 × 1,509,300
  4. Step 4: Simplify right side
    694,872x = 2,277,986,490,000
  5. Step 5: Solve for x
    x = 2,277,986,490,000/694,872
  6. Step 6: Final answer
    x = 3,278,282.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.