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Finding the Third Proportional to 4,539,609 and 6,745,101

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Solution

The third proportional to 4,539,609 and 6,745,101 is: 10,022,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539,609 : 6,745,101 = 6,745,101 : x
  2. Step 2: Convert to fraction form
    4,539,609/6,745,101 = 6,745,101/x
  3. Step 3: Cross multiply
    4,539,609x = 6,745,101 × 6,745,101
  4. Step 4: Simplify right side
    4,539,609x = 45,496,387,500,201
  5. Step 5: Solve for x
    x = 45,496,387,500,201/4,539,609
  6. Step 6: Final answer
    x = 10,022,093.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.