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Finding the Third Proportional to 1,902,420 and 3,962,304

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Solution

The third proportional to 1,902,420 and 3,962,304 is: 8,252,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,420 : 3,962,304 = 3,962,304 : x
  2. Step 2: Convert to fraction form
    1,902,420/3,962,304 = 3,962,304/x
  3. Step 3: Cross multiply
    1,902,420x = 3,962,304 × 3,962,304
  4. Step 4: Simplify right side
    1,902,420x = 15,699,852,988,416
  5. Step 5: Solve for x
    x = 15,699,852,988,416/1,902,420
  6. Step 6: Final answer
    x = 8,252,569.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.