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Finding the Third Proportional to 2,941,960 and 6,348,592

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Solution

The third proportional to 2,941,960 and 6,348,592 is: 13,699,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,960 : 6,348,592 = 6,348,592 : x
  2. Step 2: Convert to fraction form
    2,941,960/6,348,592 = 6,348,592/x
  3. Step 3: Cross multiply
    2,941,960x = 6,348,592 × 6,348,592
  4. Step 4: Simplify right side
    2,941,960x = 40,304,620,382,464
  5. Step 5: Solve for x
    x = 40,304,620,382,464/2,941,960
  6. Step 6: Final answer
    x = 13,699,921.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.