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Finding the Third Proportional to 4,097,906 and 6,013,998

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Solution

The third proportional to 4,097,906 and 6,013,998 is: 8,826,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,906 : 6,013,998 = 6,013,998 : x
  2. Step 2: Convert to fraction form
    4,097,906/6,013,998 = 6,013,998/x
  3. Step 3: Cross multiply
    4,097,906x = 6,013,998 × 6,013,998
  4. Step 4: Simplify right side
    4,097,906x = 36,168,171,944,004
  5. Step 5: Solve for x
    x = 36,168,171,944,004/4,097,906
  6. Step 6: Final answer
    x = 8,826,013.08

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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.