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Finding the Third Proportional to 679,187 and 1,476,310

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Solution

The third proportional to 679,187 and 1,476,310 is: 3,208,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,187 : 1,476,310 = 1,476,310 : x
  2. Step 2: Convert to fraction form
    679,187/1,476,310 = 1,476,310/x
  3. Step 3: Cross multiply
    679,187x = 1,476,310 × 1,476,310
  4. Step 4: Simplify right side
    679,187x = 2,179,491,216,100
  5. Step 5: Solve for x
    x = 2,179,491,216,100/679,187
  6. Step 6: Final answer
    x = 3,208,970.75

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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.