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Finding the Third Proportional to 1,546,304 and 3,136,320

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Solution

The third proportional to 1,546,304 and 3,136,320 is: 6,361,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,304 : 3,136,320 = 3,136,320 : x
  2. Step 2: Convert to fraction form
    1,546,304/3,136,320 = 3,136,320/x
  3. Step 3: Cross multiply
    1,546,304x = 3,136,320 × 3,136,320
  4. Step 4: Simplify right side
    1,546,304x = 9,836,503,142,400
  5. Step 5: Solve for x
    x = 9,836,503,142,400/1,546,304
  6. Step 6: Final answer
    x = 6,361,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.