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Finding the Third Proportional to 2,643,614 and 4,201,623

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Solution

The third proportional to 2,643,614 and 4,201,623 is: 6,677,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643,614 : 4,201,623 = 4,201,623 : x
  2. Step 2: Convert to fraction form
    2,643,614/4,201,623 = 4,201,623/x
  3. Step 3: Cross multiply
    2,643,614x = 4,201,623 × 4,201,623
  4. Step 4: Simplify right side
    2,643,614x = 17,653,635,834,129
  5. Step 5: Solve for x
    x = 17,653,635,834,129/2,643,614
  6. Step 6: Final answer
    x = 6,677,841.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.