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Finding the Third Proportional to 2,378,850 and 3,830,304

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Solution

The third proportional to 2,378,850 and 3,830,304 is: 6,167,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,850 : 3,830,304 = 3,830,304 : x
  2. Step 2: Convert to fraction form
    2,378,850/3,830,304 = 3,830,304/x
  3. Step 3: Cross multiply
    2,378,850x = 3,830,304 × 3,830,304
  4. Step 4: Simplify right side
    2,378,850x = 14,671,228,732,416
  5. Step 5: Solve for x
    x = 14,671,228,732,416/2,378,850
  6. Step 6: Final answer
    x = 6,167,361.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.