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Finding the Third Proportional to 618,080 and 1,283,532

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Solution

The third proportional to 618,080 and 1,283,532 is: 2,665,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,080 : 1,283,532 = 1,283,532 : x
  2. Step 2: Convert to fraction form
    618,080/1,283,532 = 1,283,532/x
  3. Step 3: Cross multiply
    618,080x = 1,283,532 × 1,283,532
  4. Step 4: Simplify right side
    618,080x = 1,647,454,395,024
  5. Step 5: Solve for x
    x = 1,647,454,395,024/618,080
  6. Step 6: Final answer
    x = 2,665,438.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.