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Finding the Third Proportional to 3,478,914 and 4,807,107

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Solution

The third proportional to 3,478,914 and 4,807,107 is: 6,642,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,914 : 4,807,107 = 4,807,107 : x
  2. Step 2: Convert to fraction form
    3,478,914/4,807,107 = 4,807,107/x
  3. Step 3: Cross multiply
    3,478,914x = 4,807,107 × 4,807,107
  4. Step 4: Simplify right side
    3,478,914x = 23,108,277,709,449
  5. Step 5: Solve for x
    x = 23,108,277,709,449/3,478,914
  6. Step 6: Final answer
    x = 6,642,382.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.