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Finding the Third Proportional to 3,433,815 and 5,465,949.75

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Solution

The third proportional to 3,433,815 and 5,465,949.75 is: 8,700,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,815 : 5,465,949.75 = 5,465,949.75 : x
  2. Step 2: Convert to fraction form
    3,433,815/5,465,949.75 = 5,465,949.75/x
  3. Step 3: Cross multiply
    3,433,815x = 5,465,949.75 × 5,465,949.75
  4. Step 4: Simplify right side
    3,433,815x = 29,876,606,669,525.06
  5. Step 5: Solve for x
    x = 29,876,606,669,525.06/3,433,815
  6. Step 6: Final answer
    x = 8,700,703.64

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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.