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Finding the Third Proportional to 1,686,791 and 3,673,080

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Solution

The third proportional to 1,686,791 and 3,673,080 is: 7,998,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,791 : 3,673,080 = 3,673,080 : x
  2. Step 2: Convert to fraction form
    1,686,791/3,673,080 = 3,673,080/x
  3. Step 3: Cross multiply
    1,686,791x = 3,673,080 × 3,673,080
  4. Step 4: Simplify right side
    1,686,791x = 13,491,516,686,400
  5. Step 5: Solve for x
    x = 13,491,516,686,400/1,686,791
  6. Step 6: Final answer
    x = 7,998,333.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.