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Finding the Third Proportional to 1,545,419.25 and 2,364,025.50

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Solution

The third proportional to 1,545,419.25 and 2,364,025.50 is: 3,616,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545,419.25 : 2,364,025.50 = 2,364,025.50 : x
  2. Step 2: Convert to fraction form
    1,545,419.25/2,364,025.50 = 2,364,025.50/x
  3. Step 3: Cross multiply
    1,545,419.25x = 2,364,025.50 × 2,364,025.50
  4. Step 4: Simplify right side
    1,545,419.25x = 5,588,616,564,650.25
  5. Step 5: Solve for x
    x = 5,588,616,564,650.25/1,545,419.25
  6. Step 6: Final answer
    x = 3,616,246.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.