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Finding the Third Proportional to 4,400,900 and 6,732,111

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Solution

The third proportional to 4,400,900 and 6,732,111 is: 10,298,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400,900 : 6,732,111 = 6,732,111 : x
  2. Step 2: Convert to fraction form
    4,400,900/6,732,111 = 6,732,111/x
  3. Step 3: Cross multiply
    4,400,900x = 6,732,111 × 6,732,111
  4. Step 4: Simplify right side
    4,400,900x = 45,321,318,516,321
  5. Step 5: Solve for x
    x = 45,321,318,516,321/4,400,900
  6. Step 6: Final answer
    x = 10,298,193.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.