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Finding the Third Proportional to 4,097,844 and 6,013,905

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Solution

The third proportional to 4,097,844 and 6,013,905 is: 8,825,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,844 : 6,013,905 = 6,013,905 : x
  2. Step 2: Convert to fraction form
    4,097,844/6,013,905 = 6,013,905/x
  3. Step 3: Cross multiply
    4,097,844x = 6,013,905 × 6,013,905
  4. Step 4: Simplify right side
    4,097,844x = 36,167,053,349,025
  5. Step 5: Solve for x
    x = 36,167,053,349,025/4,097,844
  6. Step 6: Final answer
    x = 8,825,873.64

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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.