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Finding the Third Proportional to 3,197,565 and 6,850,962

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Solution

The third proportional to 3,197,565 and 6,850,962 is: 14,678,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,565 : 6,850,962 = 6,850,962 : x
  2. Step 2: Convert to fraction form
    3,197,565/6,850,962 = 6,850,962/x
  3. Step 3: Cross multiply
    3,197,565x = 6,850,962 × 6,850,962
  4. Step 4: Simplify right side
    3,197,565x = 46,935,680,325,444
  5. Step 5: Solve for x
    x = 46,935,680,325,444/3,197,565
  6. Step 6: Final answer
    x = 14,678,569.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.