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Finding the Third Proportional to 4,420,246 and 6,825,633

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Solution

The third proportional to 4,420,246 and 6,825,633 is: 10,539,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420,246 : 6,825,633 = 6,825,633 : x
  2. Step 2: Convert to fraction form
    4,420,246/6,825,633 = 6,825,633/x
  3. Step 3: Cross multiply
    4,420,246x = 6,825,633 × 6,825,633
  4. Step 4: Simplify right side
    4,420,246x = 46,589,265,850,689
  5. Step 5: Solve for x
    x = 46,589,265,850,689/4,420,246
  6. Step 6: Final answer
    x = 10,539,971.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.