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Finding the Third Proportional to 1,744,422.50 and 3,695,978

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Solution

The third proportional to 1,744,422.50 and 3,695,978 is: 7,830,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,422.50 : 3,695,978 = 3,695,978 : x
  2. Step 2: Convert to fraction form
    1,744,422.50/3,695,978 = 3,695,978/x
  3. Step 3: Cross multiply
    1,744,422.50x = 3,695,978 × 3,695,978
  4. Step 4: Simplify right side
    1,744,422.50x = 13,660,253,376,484
  5. Step 5: Solve for x
    x = 13,660,253,376,484/1,744,422.50
  6. Step 6: Final answer
    x = 7,830,817.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.