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Finding the Third Proportional to 1,526,199.75 and 2,429,405.25

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Solution

The third proportional to 1,526,199.75 and 2,429,405.25 is: 3,867,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,199.75 : 2,429,405.25 = 2,429,405.25 : x
  2. Step 2: Convert to fraction form
    1,526,199.75/2,429,405.25 = 2,429,405.25/x
  3. Step 3: Cross multiply
    1,526,199.75x = 2,429,405.25 × 2,429,405.25
  4. Step 4: Simplify right side
    1,526,199.75x = 5,902,009,868,727.56
  5. Step 5: Solve for x
    x = 5,902,009,868,727.56/1,526,199.75
  6. Step 6: Final answer
    x = 3,867,128.05

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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.