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Finding the Third Proportional to 2,171,468 and 3,194,046

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Solution

The third proportional to 2,171,468 and 3,194,046 is: 4,698,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,468 : 3,194,046 = 3,194,046 : x
  2. Step 2: Convert to fraction form
    2,171,468/3,194,046 = 3,194,046/x
  3. Step 3: Cross multiply
    2,171,468x = 3,194,046 × 3,194,046
  4. Step 4: Simplify right side
    2,171,468x = 10,201,929,850,116
  5. Step 5: Solve for x
    x = 10,201,929,850,116/2,171,468
  6. Step 6: Final answer
    x = 4,698,171.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.