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Finding the Third Proportional to 4,097,898 and 6,013,986

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Solution

The third proportional to 4,097,898 and 6,013,986 is: 8,825,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,898 : 6,013,986 = 6,013,986 : x
  2. Step 2: Convert to fraction form
    4,097,898/6,013,986 = 6,013,986/x
  3. Step 3: Cross multiply
    4,097,898x = 6,013,986 × 6,013,986
  4. Step 4: Simplify right side
    4,097,898x = 36,168,027,608,196
  5. Step 5: Solve for x
    x = 36,168,027,608,196/4,097,898
  6. Step 6: Final answer
    x = 8,825,995.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.