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Finding the Third Proportional to 2,013,196 and 3,049,097

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Solution

The third proportional to 2,013,196 and 3,049,097 is: 4,618,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,196 : 3,049,097 = 3,049,097 : x
  2. Step 2: Convert to fraction form
    2,013,196/3,049,097 = 3,049,097/x
  3. Step 3: Cross multiply
    2,013,196x = 3,049,097 × 3,049,097
  4. Step 4: Simplify right side
    2,013,196x = 9,296,992,515,409
  5. Step 5: Solve for x
    x = 9,296,992,515,409/2,013,196
  6. Step 6: Final answer
    x = 4,618,026.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.