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Finding the Third Proportional to 748,689 and 1,623,504

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Solution

The third proportional to 748,689 and 1,623,504 is: 3,520,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,689 : 1,623,504 = 1,623,504 : x
  2. Step 2: Convert to fraction form
    748,689/1,623,504 = 1,623,504/x
  3. Step 3: Cross multiply
    748,689x = 1,623,504 × 1,623,504
  4. Step 4: Simplify right side
    748,689x = 2,635,765,238,016
  5. Step 5: Solve for x
    x = 2,635,765,238,016/748,689
  6. Step 6: Final answer
    x = 3,520,507.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.