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Finding the Third Proportional to 3,172,873 and 4,766,343

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Solution

The third proportional to 3,172,873 and 4,766,343 is: 7,160,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172,873 : 4,766,343 = 4,766,343 : x
  2. Step 2: Convert to fraction form
    3,172,873/4,766,343 = 4,766,343/x
  3. Step 3: Cross multiply
    3,172,873x = 4,766,343 × 4,766,343
  4. Step 4: Simplify right side
    3,172,873x = 22,718,025,593,649
  5. Step 5: Solve for x
    x = 22,718,025,593,649/3,172,873
  6. Step 6: Final answer
    x = 7,160,080.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.