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Finding the Third Proportional to 613,030 and 1,336,418

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Solution

The third proportional to 613,030 and 1,336,418 is: 2,913,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,030 : 1,336,418 = 1,336,418 : x
  2. Step 2: Convert to fraction form
    613,030/1,336,418 = 1,336,418/x
  3. Step 3: Cross multiply
    613,030x = 1,336,418 × 1,336,418
  4. Step 4: Simplify right side
    613,030x = 1,786,013,070,724
  5. Step 5: Solve for x
    x = 1,786,013,070,724/613,030
  6. Step 6: Final answer
    x = 2,913,418.71

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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.