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Finding the Third Proportional to 761,191 and 1,657,993

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Solution

The third proportional to 761,191 and 1,657,993 is: 3,611,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,191 : 1,657,993 = 1,657,993 : x
  2. Step 2: Convert to fraction form
    761,191/1,657,993 = 1,657,993/x
  3. Step 3: Cross multiply
    761,191x = 1,657,993 × 1,657,993
  4. Step 4: Simplify right side
    761,191x = 2,748,940,788,049
  5. Step 5: Solve for x
    x = 2,748,940,788,049/761,191
  6. Step 6: Final answer
    x = 3,611,367.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.