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Finding the Third Proportional to 4,184,006 and 6,465,351

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Solution

The third proportional to 4,184,006 and 6,465,351 is: 9,990,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184,006 : 6,465,351 = 6,465,351 : x
  2. Step 2: Convert to fraction form
    4,184,006/6,465,351 = 6,465,351/x
  3. Step 3: Cross multiply
    4,184,006x = 6,465,351 × 6,465,351
  4. Step 4: Simplify right side
    4,184,006x = 41,800,763,553,201
  5. Step 5: Solve for x
    x = 41,800,763,553,201/4,184,006
  6. Step 6: Final answer
    x = 9,990,607.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.