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Finding the Third Proportional to 2,941,962 and 6,348,596

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Solution

The third proportional to 2,941,962 and 6,348,596 is: 13,699,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,962 : 6,348,596 = 6,348,596 : x
  2. Step 2: Convert to fraction form
    2,941,962/6,348,596 = 6,348,596/x
  3. Step 3: Cross multiply
    2,941,962x = 6,348,596 × 6,348,596
  4. Step 4: Simplify right side
    2,941,962x = 40,304,671,171,216
  5. Step 5: Solve for x
    x = 40,304,671,171,216/2,941,962
  6. Step 6: Final answer
    x = 13,699,929.22

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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.