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Finding the Third Proportional to 3,441,438 and 5,465,880

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Solution

The third proportional to 3,441,438 and 5,465,880 is: 8,681,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441,438 : 5,465,880 = 5,465,880 : x
  2. Step 2: Convert to fraction form
    3,441,438/5,465,880 = 5,465,880/x
  3. Step 3: Cross multiply
    3,441,438x = 5,465,880 × 5,465,880
  4. Step 4: Simplify right side
    3,441,438x = 29,875,844,174,400
  5. Step 5: Solve for x
    x = 29,875,844,174,400/3,441,438
  6. Step 6: Final answer
    x = 8,681,209.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.