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Finding the Third Proportional to 2,131,716 and 4,567,320

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Solution

The third proportional to 2,131,716 and 4,567,320 is: 9,785,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,716 : 4,567,320 = 4,567,320 : x
  2. Step 2: Convert to fraction form
    2,131,716/4,567,320 = 4,567,320/x
  3. Step 3: Cross multiply
    2,131,716x = 4,567,320 × 4,567,320
  4. Step 4: Simplify right side
    2,131,716x = 20,860,411,982,400
  5. Step 5: Solve for x
    x = 20,860,411,982,400/2,131,716
  6. Step 6: Final answer
    x = 9,785,736.93

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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.