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Finding the Third Proportional to 4,231,570 and 6,446,507

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Solution

The third proportional to 4,231,570 and 6,446,507 is: 9,820,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231,570 : 6,446,507 = 6,446,507 : x
  2. Step 2: Convert to fraction form
    4,231,570/6,446,507 = 6,446,507/x
  3. Step 3: Cross multiply
    4,231,570x = 6,446,507 × 6,446,507
  4. Step 4: Simplify right side
    4,231,570x = 41,557,452,501,049
  5. Step 5: Solve for x
    x = 41,557,452,501,049/4,231,570
  6. Step 6: Final answer
    x = 9,820,811.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.