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Finding the Third Proportional to 1,085,198 and 1,596,435

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Solution

The third proportional to 1,085,198 and 1,596,435 is: 2,348,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,198 : 1,596,435 = 1,596,435 : x
  2. Step 2: Convert to fraction form
    1,085,198/1,596,435 = 1,596,435/x
  3. Step 3: Cross multiply
    1,085,198x = 1,596,435 × 1,596,435
  4. Step 4: Simplify right side
    1,085,198x = 2,548,604,709,225
  5. Step 5: Solve for x
    x = 2,548,604,709,225/1,085,198
  6. Step 6: Final answer
    x = 2,348,515.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.