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Finding the Third Proportional to 1,351,657.13 and 1,824,504.75

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Solution

The third proportional to 1,351,657.13 and 1,824,504.75 is: 2,462,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,657.13 : 1,824,504.75 = 1,824,504.75 : x
  2. Step 2: Convert to fraction form
    1,351,657.13/1,824,504.75 = 1,824,504.75/x
  3. Step 3: Cross multiply
    1,351,657.13x = 1,824,504.75 × 1,824,504.75
  4. Step 4: Simplify right side
    1,351,657.13x = 3,328,817,582,772.56
  5. Step 5: Solve for x
    x = 3,328,817,582,772.56/1,351,657.13
  6. Step 6: Final answer
    x = 2,462,767.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.