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Finding the Third Proportional to 3,436,030 and 6,785,329

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Solution

The third proportional to 3,436,030 and 6,785,329 is: 13,399,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,030 : 6,785,329 = 6,785,329 : x
  2. Step 2: Convert to fraction form
    3,436,030/6,785,329 = 6,785,329/x
  3. Step 3: Cross multiply
    3,436,030x = 6,785,329 × 6,785,329
  4. Step 4: Simplify right side
    3,436,030x = 46,040,689,638,241
  5. Step 5: Solve for x
    x = 46,040,689,638,241/3,436,030
  6. Step 6: Final answer
    x = 13,399,385.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.