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Finding the Third Proportional to 625,745.25 and 1,369,102.50

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Solution

The third proportional to 625,745.25 and 1,369,102.50 is: 2,995,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,745.25 : 1,369,102.50 = 1,369,102.50 : x
  2. Step 2: Convert to fraction form
    625,745.25/1,369,102.50 = 1,369,102.50/x
  3. Step 3: Cross multiply
    625,745.25x = 1,369,102.50 × 1,369,102.50
  4. Step 4: Simplify right side
    625,745.25x = 1,874,441,655,506.25
  5. Step 5: Solve for x
    x = 1,874,441,655,506.25/625,745.25
  6. Step 6: Final answer
    x = 2,995,534.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.