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Finding the Third Proportional to 1,764,278 and 3,827,286

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Solution

The third proportional to 1,764,278 and 3,827,286 is: 8,302,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,278 : 3,827,286 = 3,827,286 : x
  2. Step 2: Convert to fraction form
    1,764,278/3,827,286 = 3,827,286/x
  3. Step 3: Cross multiply
    1,764,278x = 3,827,286 × 3,827,286
  4. Step 4: Simplify right side
    1,764,278x = 14,648,118,125,796
  5. Step 5: Solve for x
    x = 14,648,118,125,796/1,764,278
  6. Step 6: Final answer
    x = 8,302,613.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.